{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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9s6Bhe9eRqGht+4HkhnayWxgStR5VwqpxZ/sTYoE+czIGqteHFj1DN76QEWuD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\nQSmlVAn/D9/IGz3QUO/cAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x17ed285b278>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "x = np.linspace(0, 10, 100)\n",
    "plt.plot(x, np.sin(x),'+')\n",
    "plt.plot(x, np.cos(x),'--')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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lwoDbgGStdRxgAmYYm8oiPgDG/tdj9wPrtdY9gfVt35ud3RQ7MBjI0lpna60b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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x17ed2a38cf8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "x = np.linspace(0, 10, 100)\n",
    "plt.figure()  #创建图形\n",
    "# 创建子图第一个\n",
    "plt.subplot(2, 1, 1)  # 行列子图编号\n",
    "plt.plot(x, np.sin(x))\n",
    "# 创建子图第二个\n",
    "plt.subplot(2, 1, 2)\n",
    "plt.plot(x, np.cos(x))\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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+qXZd7M0tmrkr0nEzKZ6fkiBvbDMwuSjmT02kuUVzzypZBdKWzf92L/uLqnhuSgIB3u5G\nx3EId53Xi96d/Lh3VYZdX2uy62J/6+cDbMsp4/GL4+js72l0HIcRGeTNw+P6sjHrGB/LXak2aXP2\nMd799SCXDYnknF4hRsdxGJ5uJl6cnkBZTQMPr8k0Os4Zs9ti311QwUvf7ePC/p2ZkCBji+Y2c3AE\nI3uH8PTXu8kurjI6jjhBVX0Td6/aTmSgNw9e2MfoOA6nX1d/7hjTiy8zCvhi+xGj45wRuyz2hqYW\n7lyejr+XO09c3F+GYCxAKcWzl8Tj4Wri7pXbaZYhGZvx5Je7yTtey/ypCXJ3qYVcf3Y0CREBPLIm\nk6KKOqPjnDazFLtSaqxSaq9SKkspdb85nvPvvPrDfvYUVvL05P4E+sjYoqV06uDJYxP7sS2nzOHX\nr7YXP+0tYumWHOaMiCY5KtDoOA7L1eTC/KkJ1DY084AdLhTW7mJXSpmA14ALgL7ATKVU3/Y+719J\nzy3j9Z8OcElSOOf17WSpw4g2ExK6ckFcZ178dh97CyuNjuPUymsauf+THfTq5Mud58lNeJYWE+rL\nfWNjWb+niJUpeUbHOS3mOGMfDGRprbO11g3AMmCiGZ73f9Q1NjN3RTqhfh78a7zF/u0QJ1BK8cTF\ncfh5unLXCsdaT8Pe/PuLnRRX1TN/aqJsnGEls4dFMaR7II+t3UXe8Rqj45wycxR7GHDiupd5bY+Z\n3Qvf7OVAcTXPXhKPv5cs8GUtQb4ePDmpPzuPVPDaj46znoY9+XZnIZ+m5XPLqBj6h/sbHcdp/LEC\nqtaa+z7JsJvpv1a7eKqUmqOUSlFKpRQXn9lCU+f26cSdY3pxtkzvsrqxcZ2ZNCCMBT9ksSOv3Og4\nTqW0unWZh35dO3DL6Bij4zidiEBvHhzXh41Zx1i82T6m/5qj2POBE3ezCG977P+jtX5ba52stU4O\nCTmzYj6rRxC3j+l5ZilFuz06vh9Bvu7MXZkua7dbidaah1fvoKK2ifnTEnAz2eVENrt36eBIRvQM\n5qmv9nDIDtZuN8e7ZCvQUynVXSnlDswAPjfD8wob4+/txjOXxLPvaBUvfb/P6DhO4YuMAr7aUcgd\n5/UktnMHo+M4LaUUz02Jx9WkuGeV7U//bXexa62bgFuAb4DdwAqt9c72Pq+wTaN6hzJzcATv/Jzt\nMEuc2qqiijoeWZ3JgMgA5oyINjqO0+vi78Wj4/ux9dBx3vvVtqf/muVzndb6K611L611D631k+Z4\nTmG7HhrXl64BXty1Yjs1Dfa/xKkt0lpz/6c7qG9qZv7UBFxlCMYmTE4K47y+nXjhm33sO2q703/l\n3SJOm6+HK89PSeDwsRqe/kq207OE5Vtz+WFPEff+M5boEF+j44g2SimentwfXxuf/ivFLs7IWT2C\nuHp4dz7+/TC/7Jft9Mwp51gNj6/dxVnRQcweFmV0HPFfgn09eGpSHJn5FSyw0e30pNjFGbt3bG96\nhPhwz8oMymsbjY7jEJpbNHev3I6LUrwwLQEX2ebOJo2N69I6/ffHLLbnlhkd539IsYsz5ulm4sVp\niRRX1fPo53K93Bze+zWbLYdKmTehn2xzZ+MendCPUD8P7lyRTm2DbU3/lWIX7ZIQEcCto2P4LC2f\ntRn2ucSprdhTWMEL3+zj/L6duCTJIjdvCzPy92rdTi+7uJpnvrat7fSk2EW73TIqhsSIAB76LJPC\ncvtb4tQW1DU2c8eydDp4ufLUZFmK2l4Miwnm6uHd+fC31n2XbYUUu2g3V5MLL01PpKGphbtXynZ6\nZ+KFb/ayp7CS56ckEOzrYXQccRruHdubnqG+3LNyu81spyfFLsyie7APj1zUl1+zSli46ZDRcezK\nxqwS3v31ILOGdmNUbKjRccRp8nQz8dL0RI7XNHD/pxk2sXa7FLswm5mDIxjTpxPPfr2HXUcqjI5j\nF8pqGpi7YjvRIT6yzZ0diwvz555/9uabnUdZtjX35H/BwqTYhdn8sZ5GgLcbty1Ls7mZArZGa829\nqzI4Vl3Py9MH4OUua6zbs2v/Ec0/YoJ57ItdHDB4n2ApdmFWgT7uvDQ9kQPFVTz+5S6j49i0RZtz\n+HbXUe4bGytrrDsAFxfF/GkJeLq5cPuyNOqbjDuxkWIXZjc8Jpg5Z0ezZHMO6zILjI5jk/YUVvD4\n2l2c0yuEq4d3NzqOMJNOHTx59pJ4MvMrePbrvYblkGIXFjH3vN4khPtz76oMckvtZ0sxa6htaObW\nJWl08HTjhalyd6mjOb9fZ2YPi+L9jQf5btdRQzJIsQuLcHd1YcGlSWjgliXbaGiyzcWSjPCvNZlk\nFVfx0vQEQvxkaqMjeuDCWOLCOnD3yu2G7JUqxS4sJiLQm+enxLM9r5ynbezOPKOsSMllZWoet4yK\nYURP2eLRUXm4mlgwM4nmFs1tS9OsvgqkFLuwqLFxXZg9LIqFGw85/Xj77oIKHlmdybAeQdwxppfR\ncYSFRQX78PTk/mzLKbP68tZS7MLiHrgwloRwf+5emUFWkbHTwIxSWdfITYu34e/lxsszBmCScXWn\nMD6h6/+Nt69J/5+toC1Gil1YnIeriTcuH4iHqwvXf5xCZZ1zLfHb0qK5a8V2ckpreHXmABlXdzIP\nXtiH5G4duf+THewttM6uS1Lswiq6Bnjx6qUDOHSsxunWk3l5/X6+23WUh8f1YUh0kNFxhJW5u7rw\n+mVJ+Hq6csOiVCqscGIjxS6sZliPYB64IJZvdh7l9Z9sc+cZc1uXWcjL6/dzSVK47IbkxEI7ePLa\npUkUlNey9aDlN4F3tfgRhDjBNf/oTmZ+OS98u4/oEF8u7N/F6EgWs7ewkrkr0kkI9+fJSXGyFK+T\nG9w9kF/vG22V1TvljF1YlVKKZy6JZ2C3jty5PJ10G9xWzByKKuq4+oOteHu48uasgXi6yTowAqst\nySzFLqzO083EW7MGEuLnwbUfppBfVmt0JLOqrm/i6g+3crymgYWzB9HFX7a4E9YlxS4MEezrwcLZ\ng6hvbOaqhVsoq7GNDQraq6m5hVuXprHrSAWvXZpEXJgs7iWsT4pdGKZnJz/eumIgh0pquPqDrdQ0\nNBkdqV201jy8OpMf9hTx2MQ42TRDGEaKXRhqWI9gXpk5gPTcMm5YZL9rymiteWztLpZtzeXW0TFc\nPrSb0ZGEE5NiF4YbG9eZZybH8/O+Yu5cnm71dTXM4cXv9rFw4yGuHt6du86T5QKEsWS6o7AJ0wZF\nUFHXyBNf7qa5RfPKzAG4u9r+eYfWmgU/ZPHqD1nMGBTBIxf1kWmNwnC2/5sjnMa1I6KZN74v63YW\nctPiVEN3oDkVWmueWbeH+d/tY/KAMJ6c1F9KXdgEKXZhU64a3p3HL47j+91FXPthClX1tnlBtblF\n89DqTN7akM2sod14YWqCLOwlbIYUu7A5s4Z247kp8Ww6cIypb/5GQbltzXOvaWji1qXbWLI5h5tG\n9uCxif1kFyRhU6TYhU2alhzBwtmDyC2t4eLXNpKZX250JADyy2qZ+uZvrMss5OFxfbh3bKwMvwib\nI8UubNbZvUL45MZhuLq4MOXNTSzfmoPWxq0KueVgKRMX/ErOsRremz2Ia0dEG5ZFiL8jxS5sWu/O\nfnx28zAGduvIfZ/s4LZl6VZZ9vREDU0tPP/NHma8/Ru+Hq58dvMwRvWWm4+E7ZLpjsLmhfp58tHV\nQ3hzwwFe/G4faTnHeWxiP0bHdrL4sfcdreSuFelk5lcwLTmcRy7qi5+nm8WPK0R7SLELu2ByUdw8\nKoah0YHcuyqDqz9IYUyfTswb35eIQG+zH+9YVT0vr9/P4s05+Hu58dasgfyzX2ezH0cIS1DtGbNU\nSk0FHgX6AIO11imn8veSk5N1Ssop/agQ/6OhqYWFGw/y8vr9NLVoLkkK57oR3YkO8W33cx+rqmfp\nlhze2pBNTWMzlw6O5I4xPQmy0nKrQvwdpVSq1jr5ZD/X3jP2TGAy8FY7n0eIU+bu6sL15/RgQmJX\nXv0hi1WpeSzbmsN5fToxaUAY5/QOwdv91N/aTc0tbMspY9mWHNZmFNDQ3MK5saE8cGEsMaF+Fnwl\nQlhGu4pda70bkOlewhBd/L14alJ/7hzTiw82HWTJ5hy+3XUUD1cXRvQMJj48gF6d/OjZyRc/D1fc\nTC64uCiKK+vIPV7L4ZJqfs8uZeOBEirrmvBxNzFjcASzhnajZycpdGG/ZIxd2L0QPw/u+Wcsd47p\nxZZDpXy78yg/7i3i+91FJ/27Xfw9uTCuCyN6BTOydyi+HvIrIezfSd/FSqnvgT+7avSQ1nrNqR5I\nKTUHmAMQGRl5ygGFOFWuJheG9QhmWI9gHqUf1fVNZBVVkV1SRU1DM41NLTS1aIJ9PYgI9CK8ozeh\nfh7yiVM4nJMWu9Z6jDkOpLV+G3gbWi+emuM5hfg7Ph6uJEQEkBARYHQUIaxKblASQggH065iV0pN\nUkrlAWcBXyqlvjFPLCGEEGeqXfPYz/igShUDh8/wrwcDJWaMYw/kNTsHec3OoT2vuZvWOuRkP2RI\nsbeHUirlVCboOxJ5zc5BXrNzsMZrljF2IYRwMFLsQgjhYOyx2N82OoAB5DU7B3nNzsHir9nuxtiF\nEEL8PXs8YxdCCPE3pNiFEMLB2FWxK6XGKqX2KqWylFL3G53H0pRSEUqpH5VSu5RSO5VStxudyRqU\nUialVJpSaq3RWaxBKRWglFqllNqjlNqtlDrL6EyWppS6s+09namUWqqU8jQ6k7kppd5XShUppTJP\neCxQKfWdUmp/258dLXFsuyl2pZQJeA24AOgLzFRK9TU2lcU1AXO11n2BocDNTvCaAW4Hdhsdwope\nBtZprWOBBBz8tSulwoDbgGStdRxgAmYYm8oiPgDG/tdj9wPrtdY9gfVt35ud3RQ7MBjI0lpna60b\ngGXARIMzWZTWukBrva3t60paf+HDjE1lWUqpcGAc8K7RWaxBKeUPnA28B6C1btBalxmbyipcAS+l\nlCvgDRwxOI/Zaa1/Bkr/6+GJwIdtX38IXGyJY9tTsYcBuSd8n4eDl9yJlFJRwABgs7FJLO4/wL1A\ni9FBrKQ7UAwsbBt+elcp5WN0KEvSWucDLwA5QAFQrrX+1thUVtNJa13Q9nUhYJEd2e2p2J2WUsoX\n+AS4Q2tdYXQeS1FKXQQUaa1Tjc5iRa5AEvCG1noAUI2FPp7birZx5Ym0/qPWFfBRSl1ubCrr061z\nzS0y39yeij0fiDjh+/C2xxyaUsqN1lJfrLX+1Og8FjYcmKCUOkTrUNtopdQiYyNZXB6Qp7X+45PY\nKlqL3pGNAQ5qrYu11o3Ap8AwgzNZy1GlVBeAtj9Pvs3XGbCnYt8K9FRKdVdKudN6seVzgzNZlGrd\n2uc9YLfW+kWj81ia1voBrXW41jqK1v+/P2itHfpMTmtdCOQqpXq3PXQusMvASNaQAwxVSnm3vcfP\nxcEvGJ/gc+DKtq+vBE55F7rTYTcbPGqtm5RStwDf0HoV/X2t9U6DY1nacGAWsEMpld722INa668M\nzCTM71ZgcdsJSzZwlcF5LEprvVkptQrYRuvMrzQccGkBpdRSYCQQ3LZvxTzgGWCFUuoaWpcun2aR\nY8uSAkII4VjsaShGCCHEKZBiF0IIByPFLoQQDsaQi6fBwcE6KirKiEMLIYTdSk1NLTmVPU/NUuxK\nqfeBP24uiTvZz0dFRZGSkmKOQwshhNNQSh0+lZ8z11DMB/zvYjdCCCEMYJYzdq31z21rmVjU7oIK\niivr6ejtToC3GyF+Hni6mSx9WCEMU1nXyNGKOooq6gHwcjfh4+FK1wAvfD3s5jYUYWVWe2copeYA\ncwAiIyPP6DkW/X6YxZtz/u97k4uidyc/kroFMLh7EGP6hOLtLm92Yb/2Ha1kY1YJvx04xtZDpRyv\nafzTn1MKugf50LdrB4ZGB3FBXGeCfD2snFbYKrPdoNR2xr72VMbYk5OT9ZmMsReU15J3vJbj1Q2U\n1TSSU1pDWu5x0nPKqG5oxtvdxAVxXZgyMJyh0YG03q0shG2rqm/i8/QjLN2Sw478cgAiA70Z0j2Q\nmFBfOvt7EuLngUJR29hEdX0zB0uqycwvJzO/nCPldZhcFMN6BDFlYDjj+nfB1SQT3hyRUipVa518\n0p+zp2JzKVg+AAAbPElEQVT/K80tmtTDx/l0Wx5fZhRQWd9EUmQAd53Xm+ExQVLwwiZV1Tfx7i/Z\nvPvLQarqm4jt7MeMQRGM6duJ8I7ep/QcWmt2F1Ty5Y4jrM0o4PCxGiIDvblxZA8mJ4Xh4SpDlY7E\nqYr9RHWNzXyyLY8FP2RRUF7HkO6B/HtiP2I7d7DI8YQ4XU3NLSzZksMr6/dTUtXABXGdue7saAZE\nBLTrJKSlRfP97qMs+DGLjLxyIgK9eGxiHKN6h5oxvTCSVYv9xMVugKPAPK31e3/185Ys9j/UNzWz\nbEsur6zfT3ltIzeNiuHmUT3kDEYYKquokrkrM9ieW8aQ7oHcf0EsAyLNu+2l1poN+4p5bO0usour\nGRffhX9d1JdOHRxuW1GnY/Uz9tNhjWL/Q2l1A4+v3cVnafn0DPXllZkD6NNFzt6FdTW3aN7/9SDP\nf7sXb3cTj02MY3x8F4sOE9Y3NfP2hmxe/TELLzcTL0xN4Ly+FtmwR1iJFPt/+XFvEfetyqCirpGn\nJvVnclK4VY8vnFd5bSN3LEvjx73FnNe3E09OiiPUz3pnzwdLqrl16TYy8yu4bkR37h0bi5tcXLVL\nUux/oriynluWbGPzwVIuHxrJvy7qh7urvMGF5ew/Wsmcj1PJLa1h3oR+XD4k0pCL+XWNzTz55W4+\n/v0wA7t15K1ZAwmW6ZF251SL3alaLcTPg8XXDuH6s6NZ9HsOV32whcq6P58nLER7/bi3iItf20hl\nXRNL5wxl1tBuhs3Q8nQz8fjFcbw6cwCZ+eVMfn0T2cVVhmQRludUxQ7ganLhgQv7MH9qAr9nlzLj\n7d8prqw3OpZwMGvS87nuwxSign344tbhDIoKNDoSAOMTurJ0zlCq6pu45I1NpB4uNTqSsACnK/Y/\nXDIwnHevTCa7uJpL3tjE4WPVRkcSDuLj3w5xx/J0BnbryLI5Q+ni72V0pP9PUmRHPr1xGP5eblz6\nzmZ+2V9sdCRhZk5b7ACjeoeydM5QKusamfn27+QcqzE6krBzb244wCNrdnJubCc+vHowfp5uRkf6\nU1HBPnxy4zC6B/twzYcpbNgn5e5InLrYARIjAlh87VBqGpuZ+c7v5JZKuYsz8/6vB3nm6z2MT+jK\nm5cn2fwCdUG+Hiy5big9Qny57qMUftpbZHQkYSZOX+wAfbt2YNE1Q1rP3N/5nfyyWqMjCTuzePNh\nHlu7i7H9OvPitAS7Wasl0MedJdcOISbElzkfpbLpQInRkYQZ2Me7zwriwvxZdO0QymsbueK9zRyv\nbjA6krATn6Xl8dBnmYyODeWVmQPsbo54Rx93Fl87hG5B3sz5KJXMtoXIhP2yr3eghcWHB/DOFcnk\nltZy7Ucp1DU2Gx1J2Lhf95dwz8oMzooO4vXLkuz2voiOPu58dM1gOni6MnvhFg6VyGQCe2af70IL\nGhodxH9mJLIt5zi3Lk2jqbnF6EjCRu0uqOCGRanEhPry1hUDbX5M/WS6+Hvx0TVDaG7RzHp/s0wD\ntmNS7H/iwv5deHR8P77bdZTH1u4yOo6wQQXltVy1cCu+Hq4svGoQHWx09svpign1ZeFVgymurOf6\nj+VTq72SYv8LVw6LYs7Z0Xz022E+/v2U9o8VTqKmoYlrPkihur6JhVcNsrl56u2VGBHAi9MS2ZZT\nxn2fZGDEsiOifaTY/8Z9Y2MZHRvKo5/vZFOWzBYQrUvi3rMyg92FFbxyqeOuFHph/y7cfX4v1qQf\n4bUfs4yOI06TFPvfMLkoXp6RSHSwDzcu3iYXlAQLfsjiyx0F3D821uE3sLh5VAyTBoTxwrf7+GZn\nodFxxGmQYj8JP0833rtyEC4K5nycQk1Dk9GRhEG+23WU+d/tY9KAMOacHW10HItTSvH05P4khPsz\nd8V2DsiiYXZDiv0URAZ588rMAewvquKBT3fImKMTOlhSzV3L04kP9+fpyf2dZh9dTzcTb1w+EHdX\nF274OJWqejmxsQdS7KdoRM8Q5p7XOub40W9yMdWZ1DU2c+OiVEwmxeuX2f5SAebWNcCLBTMHcKC4\nintXbZcTGzsgxX4abhoZw7mxoTy+dpcsd+pEHlmdyd6jlbw0PZHwjt5GxzHEsJhg7hsby1c7Cnl/\n4yGj44iTkGI/DS4uihenJdI1wItblqTJsgNOYMXWXFam5nHrqBiHv1h6MnPOjub8vp145uvdbM8t\nMzqO+BtS7KfJ39uNBZcOoKSqnntWyRxfR7bvaCWPrMlkeEwQt4/pZXQcwymleH5KAqF+nty8ZBvl\ntbL7mK2SYj8D8eEB3H9BH77ffZSF8rHUIdU2NHPLkm34ebry0vRETC7OcbH0ZPy93Xj10gEUltdx\nn5zY2Cwp9jN09fAoxvTpxNNf72ZHnqyG52ge/3IX+45W8eK0REL9PI2OY1OSIjty79jerNtZyCK5\nK9smSbGfodaPpfEE+3pw69JtVMs0MIfxZUYBSzbncP050ZzdK8ToODbp2n9EM7J3CE98uZt9RyuN\njiP+ixR7O3T0cec/0xM5XFrDY1/IYmGO4EhZLQ98mkFCRAB3n9/b6Dg2y8Wldbzdz9OV25amyWJh\nNkaKvZ2GRAdx08geLE/J5esdBUbHEe3Q3KK5a0U6zS2aV2Yk2t2GGdYW4ufB81MS2FNYybPr9hgd\nR5xA3rlmcMeYXsSH+3P/pzsoKJdt9ezVO79k83t2KfMm9KNbkI/RcezCqNhQZg+LYuHGQ7Jnqg2R\nYjcDN5MLL88YQENTC3NXbKelRWYK2JvM/HLmf7uXC+I6M3VguNFx7Mr9F8TSu5Mf96zKkHs7bIQU\nu5l0D/Zh3vi+bDpwjIWbDhkdR5yGusZm7lieTqCPO09Ncp51YMzF083ES9MTKatp4MHPZC0lWyDF\nbkbTB0Uwpk8oz67bIzMF7Miz6/aQVVTFC1MT6OjjbnQcu9S3awfmnt+brzML+Swt3+g4Tk+K3Yxa\nlzmNx9fDlTuXp9PQJPul2rpNWSUs3HiI2cOiGNFTpja2x3UjohkcFci8NTvJO15jdBynJsVuZiF+\nHjw9uT87j1Twyvr9RscRf6O8tpG7V24nOsSH+8bGGh3H7plcFPOnJaBBrjUZTIrdAv7ZrzNTBobz\n+k9ZbMs5bnQc8Rf+/flOjlbW89K0RLzcnWspXkuJCPTmXxf1ZfPBUrnWZCApdguZN74vXfy9uHvF\ndmob5OYNW7Mus5BP0/K5eVQMCREBRsdxKFOTwzk3NpTn2q5dCOuTYrcQP083np8ST3ZJtdy8YWNK\nqup56LMdxIV14NbRMUbHcThKKZ6+pD/e7ibmrkinqVmuNVmbFLsFDYsJZvawKD7YdIhNB0qMjiMA\nrTUPf5ZJZV0TL06Tu0stJdTPkycu7s/2vHJe/+mA0XGcjlne1UqpsUqpvUqpLKXU/eZ4Tkdx39hY\nugf7cM/KDCrrZP1qo61JP8K6nYXMPb8XvTr5GR3HoY2L78KEhK68sn4/O4/ICqjW1O5iV0qZgNeA\nC4C+wEylVN/2Pq+j8HI3MX9aAgXltTz55W6j4zi1wvI6/rUmk4HdOnLtiGij4ziFxyb2o6OPO3NX\nbKe+Sa41WYs5ztgHA1la62y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O7DY6hBW9DKzTWscCCTj4a1dKhQG3Acla6zjABMwwNpVF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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1fc8daca198>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "x = np.linspace(0, 10, 100)\n",
    "# 先创建图形网络\n",
    "# ax是一个包含两个Axes对象的数组\n",
    "fig, ax = plt.subplots(2)\n",
    "ax[0].plot(x, np.sin(x))\n",
    "ax[1].plot(x, np.cos(x))\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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F0BUUblGaGyzUV7YQ3ScAlVpF7ZlmJKccv1WrVYyYKaa/t2S10nHqFMZevUCtpuEf/8SY\nkIDn2LFofX2JevefQuwClJpLyTudx6ayTVS2VDKz+0yeGfoMCf4J7Ji5A61akORZW+HYRtkbP70L\nJCeEJsHE5dB7Bph+mOlGiqArKNxC2KwOdJcm+XyVU0ppfh33vTICjVbNtF8loVKLi4u3Hz6MOSeH\n5s1bkBwOun3+GWqjkaisd9H4+Qmx+00e2vEQn1d+jlqlZkjoEBYkLSA5MhmQQ0halYvlzumA0t1Q\nsA5KcsHWCt6RMGIRJN4FgT1ca+8qUARdQeEW4dTBGnb+o5i5vx+Cp5+R/pOjGTAlBo1W3mAUIeYd\nZWU05eZizsnFdu4cKqMRz+RkvKemo7rUZVXr7/rK0XZ7O5+c+YQvqr7gheEvoFKpGBI6hKGhQ5kU\nM4lA90CX2wTkDJULBbKIF34ALdVg8IY+d0Lf2dBlCAja0L0aFEFXULhJaWuysn9jGT0GhxAS601g\npCfxw8M6j/sEiSm+cTQ1Yd6Qgzk3F0tBAahUeAwdQsDDC/Acn4LG5PocdQCH08FXF74irzSPHRU7\naLO3EeIRQnVbNSEeIdydcLcQuwA0npUFvGAt1B4DtQ66p0LiLOg2AXSu71dzPSiCrqBwE9FY04bN\n4iAw0hOdQcPpQzUERJgIifXGO9CNUbPFtKt2trfjaGpGFxyEva6e6pdewtCzJ0GPP45X2hR0wcFC\n7EqShF2yo1Pr+Lzycx7e9TAmnYmJMRNJi02jf3B/1CpBHnF7I5TkyN54+Wfyc12GQNob0Ot2cBcf\nRrpWFEFXULjBcTicaDRqJEkib2U+nv5Gpi3sh86g4e5lwztDKqKQJInSqdMw9k4g4o03MMTGELt5\nE4aYGGE2L7ReYGPpRvJK8xgfNZ4FSQsYFjaM10a/xuguozFoBLXjtVvh1A7ZEz++GRwd4N8Vxv5O\nDqv4iVuzK1AEXUHhBuarvDJO7q9m7nODUalUJN8dj6f/11/vRYi55fgJmnJzaDt8hKisd1Gp1QQ+\n+ii6kK+9cFFinleax8cnP2b/hf1ISPQN7EusdywAOo2OCdETXG9UkuDcflnEj34E7Q3gHgD974G+\nsyDsNnlSx02AIugKCjcQrQ02Pll9jOEzuqI3agmIMGHvcGC3OdHpNYR29RFi11ZdTVPeRsw5OXQc\nPw5aLaYRI3A2NaHx8cE7PU2MXaeN4qZi4pEHUeys2MmF1gs81PchpsROIdIrUohdAOpPy+GUgrVw\nsQy0Rug5BRJnQ9xYUEr/FRQUrpX6yhaMJh0e3gbsFomTX1XTc3AIoV19iE0KJDZJTMaGo6WV5u3b\nMedsoO3fX4Ik4da3L8FP/w6vSZPQCko1lCSJwrpCck/nsrV8Kxc7LjIofhBdvLrw/PDnMelM4op+\nWuuh6CNZxM/tB1QQMwpGL4aeaWAUVPp/mWeegfx8WL5cyMsrgq6g8CMgOSVUahVtTVbWvPgVAyZH\nMzg9Fq9QHfe+MqIzl1wUHadPUzbjTiSLBV1kJAG//CXe6Wnoo6OF2i2qL+KJPU9Q0VSBQWNgbJex\n9NX1JcQUAoCn3tP1Rm3tcjy8YB2c2g5OOwT3hpQX5Li4V9h3v8b1cvIkvP8+/O53cjqjjw8EBoLD\nIcScIugKCj8wW1cdRatTk3xPL9y99Ex8sHdnKEWlUgkT8+pXXkHt7k7gggXoY2Lwy5iHKTkZt6Qk\nYR5xo6WRreVbCXQPZFzkOCJMEYR5hHF/7/sZHzUeT70nJSUl6NQuDm84nVDxueyJF+dARxN4hsKQ\nX8qphiG9XWvvm5w7B76+4OEBX30FL7wAM2ZAQgIsWiSf82OW/ufn5/Pqq6+SlZVFSUkJL7zwAhqN\nBr1ez8svv0xAwJXTSqZPn47JJE/ziIiIYNmyZa6/cgWFm4Tzpxo5W9LAoHR5c8831AON9msBjbtN\nTFm49dw5Wvftw3fmTADs1TWoPeX3pUqtJug3vxFit8PRwadnPyW3NJfPKz/H7rQzNW4q4yLH4W3w\n5p0J7wixC0B1sSzihR9AUyXoPaHXVFnEo0eA6HmfxcXQuzf87//CPffAHXdAaioEiJvo9E2+U9BX\nrVpFTk4Obm5uALz00ks8/fTTxMfHs2bNGlatWsWSJUs6z+/o6ECSJLKyssRdtYLCDYwkSdSeaSag\niydqtYrzp80U7D5H4rguGD10DEoTl/rmaGykacsWzDm5tB86BCoVplGj0AUHE/bKCqEtcS+/9iM7\nH2Hf+X0EugUyr+c80uPS6e4rJj8egKbzcHS9LOQXCuVmWF3Hw4QXoPsk0AucrOR0wvz50KsXPPUU\nxMfDK6/AmDHycTc3+d8PxHcKemRkJCtXrmTx4sUAvP766wQFyR6Fw+HAYLgyH/TYsWO0t7dz3333\nYbfbWbRoEUlJSQIuXUHhxuKyqFUU1rPxzwVM/VUSXeL96DMmgr7juqDRickXd1qttHyyG3NuDi2f\n7gGbDX3XOAIXLcL7G0U/IsT8dOPpzsrN7MnZeBu8ua/Pfdzb+14GhQxCI8oj7miR+6cUrIWyT+Vm\nWOH9YdIKSLgDTIJK/wEOHYLCQrj7bjku7nDIwg5yeuOvfy3O9negkqTvzqE5d+4cixYtYt26dZ3P\nHTp0iN/+9resXr0av2/shh8/fpz8/HxmzpxJeXk5Dz74IFu2bEGrvfKz4+DBg7h/j7mAFosFo/HG\nKLf9IfiprRdunjXbO5zk51wkpKcb4X3ccdglLhxrJ6ibEZ3h2kT8mtbc2AjvvQ9ffAGtrfKG28iR\nMGY0xMQIy51usbewu243n9V9RllbGWrU9PXuy71R9xJiDLnm17vqNTvteFR/hXf5Fjwr96B2WLB6\nhGGOmkhT9ESsnuJSHLXV1dgvfTCG/P73eG7ZwslPP4XrbPv7fe7ttrY2+vfv/58PSlfB2bNnpZkz\nZ3Y+3rhxo5SWliadOXPmW+d2dHRI7e3tnY9nzJghVVVVfeu8AwcOXI3p/0pxcfH3+vmbjZ/aeiXp\nxl5zaX6tdOzf5yVJkiSn0ylt/HN+5+Pvw3et2XL6tNS6f78kSZLkaGuTjg8fIZ17/HGpec9nktNm\n+972/xut1lbpfIu8vrLGMqn3P3pLs3JnSVlFWVJtW+33eu3/c81OpySdOyhJm56QpBVxkvSslyQt\ni5Sk3IWSVPFv+bho3n1XkkCSTpyQH1dVSVJj4/d6ye9zb/9f2nnNWS4bNmxg7dq1ZGVl4ePz7SKH\n9evXc+LECZ577jmqq6tpaWkhMFDg1x8FhR8ASZJorG7DN0RuPFX8WSWtZis9BoegUqmY/FCiMNuO\nltbOhlfnn/otTouF2H99jNrNjW67P+nsauhq7E47/z7/b/JK89h1Zhcjw0fy2pjXiPaOZvMdm4nw\nFDNnFICLFVC4Tk41rDsBGj10n/h1MyytuOlGVFXBggXw8MOQnAzjxsGyZfI3IIDQUHG2vyfXdCc4\nHA5eeuklQkNDeeSRRwAYOHAgjz76KIsXL2bhwoXceeedLFmyhDlz5qBSqVi6dOm3wi0KCjcbX+WV\ncWhrBfetGIHBXcfYzHiMHuLua2dbG807d2HOzaFt/wG67f4Ejbc3Ic89e0U7WlFi/rfCv5FVnEW9\npR5PvSdTYqcwLW5a53EhYt5+EYr+JYv4mS/k56KGw9AF0GsauPm63ibIlZuffy7HwseMAT8/OH4c\namrk4+Hh8OSTYmy7mKu6GyIiIjrj51999dV/PGfFiq8Hnr722msuuDQFhR+PunPNfJJ9nHHze+If\nZqLbgGC8A906e6e4e7neQ5QcDjhyhKp//JPm7dtxtrWhDQvFb/58pEubbsaeYmZfVrVUsbV8Kxm9\nMtCpddicNpKCkkiLTWNUxCj0GkEesb0Dz3O7oeAlOLEVHFYI6A7jnpaHRPgILP1vaJDFG+CXv4Sg\nIFnQjUYoKhK2B+G8vIEqAMV1VlBA7mhYeqgWT38jIbHeuHsZkJwSHa02APxCPfALdX2fb0mS6Dh2\nDHNOLk15eVBbS7OnJ15TJuM9dSpu/fujEjQwocnaxPby7eSW5nKw+iAAiYGJ9A/uzy/6/kKITUD2\niM/8W85QKfqYCEsjeATBwAfkkEpoX/HNsBYtgjVr4OxZ0Ghg3TqI/MaHh4vt2+12duzYQXZ2NsXF\nxWRnZ7v09S+jCLrCTxanU6LNbMXkK6fe7ll7gth+gZcEXc9dTw0UZluy2VDpdDjq6ymbcSdoNJhG\njaKl/210mzcPtUFQe9hLnG48zV25d2F1Won2iuaRfo8wOWay2Lh43UlZxAvWQuMZ0LlDzzTO+A4j\ncnQmaATK0YED8Nxz8O67slc+ZYos4DabLOjx8ULMHjt2jLfffpv333+f6upqfHx8uOuuu7BYLELs\nKYKu8JNl058LaGuyctdTA9Fo1MxY3B/vAPFFIFVPLsFeX0/kqnfQBgQQsfJPuN12G1pfX0pKSlwu\n5pIkkV+bT15pHr5GXxYkLSDGO4a7E+4mOTKZXv69xDXDaqmFox/KIl51CFRqiB0DY38rN8MymGgt\nKXG9mDscsHMndO0KsbFyvnhhIZw6BYMGyZudycmutXmJiooKTCYT/v7+HD58mDfffJO0tDQyMzOZ\nPHkyBoOBkh+z9F9B4VagrKCO/B1nSP9VEhqNmoRR4ditjs6CIBEj2ySrlZbP99K8fTuhz/8elU6H\nsU9vnM3NnXY9RQlLUwV5pXnknc7jXMs5jBojd3S7AwC1Ss2jtz0qxC7WNji+SRbxUztBckBIIkx4\nSW6G5XntuepXhSRBW5vcQ6WhQfbCH38cli6Ffv2grEzYvM/Lf8vKykpiYmJYvnw5ixcvZvr06aSm\npl5RqyMSRdAVblmsFjunD9UQ1TsAdy89KsBuc9JmtuLpZyQmUUx/DUmSsOTnY87JoWnTZhyNjWh8\nfbGWl2Po1g2/efOE2AW4aLmIj8EHlUrF3wr/xr9O/YvBoYN5KOkhkiOT8dCJmfeJ0wFle+QMlZIc\nsLaAVwQMf1SOiweJCWlcQUqKnFq4fr3c0fCTT2DAAPmYSuXyuLjVamXz5s1kZWVhMBhYvXo14eHh\nrFq1ivHjxwNgNBp/0OI4RdAVbikcDid2qxODm5bmBgu73j3G2Iye9BoRRnRiANGCRBzAWlGBOTcP\nc24OtoozqAwGPJPH4TV1Kqbhw1HpxAxMsNgt7D67m9zSXPZW7mX1lNUk+Cfwi76/YEHSAoI9xMz7\nBOTeKQVroXA9NJ8HgxckTIe+syFymDCPGIC8PMjNhbfflh/ffjt8s/p8xAiXm5QkiX379pGVlcW6\ndetoaGggKCiIe+65p/Oc+++/3+V2rxZF0BVuGRwOJ9m/20dsUiAjZ3XHP8zEXU8NJKCLSazd5mbO\nPvAg7fn5oFLhPngwAT/7OZ6pE9CYxNmua6/jj4f+yPaK7bTaWglyD2J+wnz8DPLX+zCToD7f5kq5\nm2HBOqgpArVWLvZJXCY3w9IJ8kitVti6Ve5eqNfLIZTdu+HiRbld7cMPi7ELnDhxgtWrV5OdnU1p\naSlubm5Mnz6djIwMUlJSbphamxvjKhQUrpPC3ee4eKGNUbO7o9Go6ZvcBf+wr0U0MFLAwASgedcn\n2Cor8cvMQG0yoQ0JIShlPF5TpqATWEl44uIJGi2NDAodhIfOgy+qviAlKoW02DQGBA8Q1wzL0iSH\nUgrWQtlngAQRg2Dyq3IzLA//73yJ60KSwG4HnQ62b4epUyEnB9LT4Re/kEVccIrju+++y913341a\nrSY5OZlnn32W6dOn4+kp5t76PiiCrnBTYWm1UVFYR/dLJfctFy00VrfidEqo1SqSxospRJGcTtqP\n5OPWTx4G0bxrJ+0HD+E7by4qtZqIP/5BiF2A6tZqNpdtJrc0lxMXT9DDtwfrp67HTevGthnbxIm4\nwyZvahaslTc57Rbwi4UxT8pFP36xYuxeprERBg6Uy/AXLoQJE+Qwy4RLg6IFhbAaGhqYP38+8+bN\nY86cOYwfP55XX32VOXPmEBYmcLqRC1AEXeGGx25zoFKr0GjUnD5Uw+7Vx/GP8CQgwsSQaXGo1OI8\ntI5TpzBvyMGcl4f9/Hmi16/HrXcCwYsXo/bwEFb0c5k/HfoTfy38KxISiQGJLBm0hIkxEzuPu1zM\nJQkqD8oNkIDwAAAgAElEQVQifvRDaKsHNz/olylvbkYMEOsR//WvcufIX/1K3uBMSZFTD0EW8ClT\nXG7S4XCwe/duLly4wLx58/Dx8aGpqakzVzwsLIxf/4gtca8FRdAVbmguXmjlwxUHGTOvJ137B9F1\nQDBBUV74h8vZGiLE3FZTQ9PGTZhzc+goLgGNBo8Rwwn69a8xxMleqcbL9cOEbU4bhxoP8fc9f2dR\n/0WEeISQFJTEz/v+nCkxU4j2jna5zU4ayuSYeMFaaDgNGgP0nCyLeNfxoBHjDdPejtuBA18X9mzb\nBvX1sqAD/PnPYuwChYWFZGVl8d5771FZWUlcXBxz585FrVazZ88eYXad392x/LpRBF3hhkJySnyZ\nU4pXgBsqf/AOcqfbwGC8AuSNNoObVkhcXLJaadq8GXNOLq379oHTibFPH4KfegqvKZOvaIjlUruS\nRFF9EXmleWwu20yDpQFvgze3x91OiEcIoyJGMSpilBDbtDVA0UeykJ/9ElDJY9pGPCaPbTN6i7Hr\ndH6dRvjSS0QtXy5vdAYFwT/+cWWmiouprKzkvffeIzs7m4KCArRaLZMmTeL1118nPT1dWIGVzelk\na0MD2dXVnGpv511Ba1QEXeFHp9XcQUNVK13i/VCpVVSdasRqcRDoD2q1itFzegixK9nt2Cor0UdF\ngVpN9csrULu54f/zn+Gdno4hVlyM2OawodPoqLfUM2/TPLQqLaO7jKafvh+zB89GJ8ojtlngxBZZ\nxE9uA6cNAuNh/HPQZyZ4Cyz9B9i/Xx6Y/NFHco74Aw9wJjaWqMsfmIKEbv/+/SxZsoRdu3YhSRKD\nBw/mf/7nf7jrrruEtvcubm3lraoq1tTUUGez4a/VMjsoiA67XYg9RdAVfhQcNmfnSLYvPjpFeUE9\n970yAo1Wze2P9UOtUQsrj75M1RNP0nb4EF137ECl1RK9bh268DBhXpq5w8y2im3knc7DoDHwzoR3\nCHALYOW4lSQFJeGl96KkpMT1Yu50wpl9ULAGijZAhxlMITD453JIJaSPuLi4xQJvvgmJiXI8vFs3\nuWrzsr3oaNqGDpX7qbgQu93Otm3biIiIIDExEZ1OR1lZGU8//TQZGRl069bNpfa+yen2drw1GgL0\negpaWvjr+fNM9fcnMziYVD8/dGpx97Yi6Ao/OKcP17DrnyXMeXYIJl8DAyZF0z81urM1rVrj+o1G\n67lKmvLyaNqYR5d33kEXGorv7Fl4TkyVNwIBfUS4y+0CfHn+S94/9j57zu3B5rQR6x3L1LipneXi\nwkIqtcchf42cM24+CzoPOZSSeBfEjAZR2TEtLVBeDr17yxuZb7wBd931dSXnhg1CzEqSRG1tLUFB\nQdhsNubMmcOcOXP4y1/+Qt++fTl16pSwD+t6m421NTVkV1ezr6mJZTExPBkVxfTAQCb5++P9A+Wp\nK4KuIJz2FisHt1TQrX8wwTFe+Ieb6DoguLMv9OUpQK7GYTbTtHUr5pwc2g/I7WHdBvTH0diILjQU\n94Fiuik6JSeHaw4T7xePu86dkvoSjtQcYXbP2aTFphHvFy+uGVZzNRxdL29uns8HlQbixkHys/Im\np15Q6b8kfe113367PPWnqEj2vAsL5cIfQZSVlXUW/ahUKoqLi3Fzc+PTTz+lV69egJgB2SBvcM4s\nKiKnvh67JNHbw4OXY2OZGxQEgEGtxiA4E+qbKIKuIITmBgvWdjv+4SY0WjXHvjiPT6AbwTFe+AS5\nMzZDzKAGp9VK6549mDfk0LJ7N5LNhj42lsCFC/FKSxPmhQOUmkvJO53HprJNVLZUsnTEUtLj0pnd\nczYZvTLQqgW93aytUJIni3jpJyA5IawfTFwOvWeAKUiM3cu8/z78/vdw5Ig8HOKZZ64s+Rcg5g0N\nDXzwwQdkZWWxd+9eAEaPHk1mZiZOpxONRkNSUpLL7Tolic/MZvY3NfGbyEjUKhVeWi2/Cg8nIziY\nviaTuA/rq0ARdAWXcbm4R5Ik/vXGYbz8jUxb2A+9Ucs9y4ej1Qv6in8JyWbj9PgU7DU1aPz98Zkz\nG++p0zAmCGwPCzRbm3lw24MU1RehVqkZEjqEBUkLSI6UuygatQJK4R12KPtUFvGSPLC1gnckjFgk\nh1QCxWwkA1BbC++8A3ffDREREBIih1caGiAsDEaJCSF1dHSwceNGsrOz2bhxI1arlV69erFs2TLm\nzp1LZKS46UbFra1kV1ezurqaMx0deGk0PBgWhrdWy98FTZG6HhRBV3AJBzaVc/JANbOfHoRKpWJc\nRk9Mfl8LmSgxv7huHa379hHxxhuodDr8H3wQfXQUHkOHCpu32W5vZ9eZXdS31zM/YT6eek8ivSKZ\nHDOZSTGTCHQXlDUhSXChAPLXymGVlmo5tTBxpry52WWIuGZYFy9Ce7ss2M3N8PTT8oCIzEwYO1b+\nJwCn04nFYsHd3Z1du3YxY8YMgoODWbBgAZmZmSQlJQn3iP954QL3HDuGBkj182N5bCxTAwLwcPFG\nriu4qjs+Pz+fV199laysLCoqKnjyySdRqVR069aNZ599FvU3biKn08lzzz3H8ePH0ev1vPjii0RF\nRQlbgMKPQ2N1GwW7zzFkWix6oxafYHfCe/hitzrRGTSE9xATM7U3NNC0aTM+029H7eGB1N6O09yE\n02JBbTTil5khxK7D6eDLC1+ysXQjOyp20GZvI847joxeGahValaMWvHdL3K9NJ6FwnVyqmHtMVDr\noHuqLOLdJohrhnUZm03OTpkxQ+5sGBsLlZUgsGcNyB557969mTlzJkuXLiUlJYWtW7cybtw4Yc2w\nWux2/lVXR3Z1NZkhIcwLDibV15c/du3KrKAggvWCZqu6iO/8raxatYqcnBzc3ORJLsuWLWPhwoUM\nHjyYZ555hp07d5KSktJ5/o4dO7Baraxdu5YjR46wfPly3nrrLXErUPjBaKxpQ2/U4u6lp63JSvHn\nVXS9LYiwbj5yFWd/MbFaZ3s7zbt20ZSTS8ul6ey6kGA8x4/Hd/58/O6+W4hd6VL2i0ql4s/5f+ad\ngnfw1HkyKWYSU2Kn0D+4P2qVII+4vVFuhpW/Fio+l5+LHAppb0Cv28Fd8MCEF1+EggJ51qZOB3/4\nAyQkfH1cgJhXV1ezZs0aTp06xcqVKzEYDMyZM4cBl3qaa7VaJlzu4+JCJEli28WLZFdX83FtLa1O\nJ1EGA45Lf/8Qg4FHIwTn57uI7xT0yMhIVq5cyeLFiwEoKipi0KBBAIwaNYq9e/deIegHDx5k5MiR\nACQlJXH06FER163wA3E5ta6tycrqZ//NoLQYBk6JITTOm/tWjEDvJsZTkhwOKCik6t0smrdtw9na\nijYkBP/77sUrPR1j9+6AmOyFC60X2Fi6kbzSPJ4Y9ARDQoeQHptOd9/ujOkyBoNG0LxPuxVT5R4o\nXAbHt4CjA/y7wtjfyZN+/GLE2AW5Fe0HH8gTflQquT2t0SiPctNoIEPMN5/W1lby8vJYtGgR27dv\nx+FwMGDAADo6OjAYDDz//PNC7EqSxJmODqKMRlQqFU+cPk1FRwfzgoPJDA5mmLc3akGhnHZbe6ez\n4Gq+892YmprKuXPnOh9ffoMDeHh40NzcfMX5LS0tmL7RA1qj0WC322+YfsEKV8+Ovxej0aoYmxmP\nu5eelHt7EdZNDqWo1CohYi45ndS+/jrm3DyorqbZZMJzYire6VNxHzRQWDMsm8Mmj2srzWP/hf1I\nSCQFJqFCvtejvaPF9FKRJDi3X84XL/qILu0XwT0ABtwrb26G3Sau6KemBkwmuTrzs89gyRKYNAn6\n9IFLDpwIHA4Hu3btIisri48++ojW1lYiIyNZvHgxGRkZnamGIqiwWHivupqs6moqLBaqhw3DpNWy\nPiGBLkajsBTDDnsHm05uIrswm7wTedzb/V7+0usvLrdzze/Ib8bLW1tb8fr/mhSZTCZaW1s7Hzud\nzv8q5t+nWspisQivJLyR+CHWa75g5eIZK9GD5A9ki7MZtV31tV1POHvhIlxwseH6ejhxEoYOkR//\n+0uI7IJ11iz0w4ZiNhgwAxw/7lKzdqedmo4awtzCcEgOXjvyGu5qd2aGz2SE/whCjCHQCCWNrv+9\n65rP4F2xFe/yLehbK3FqDDSHj6YubBzWLiPkoRFNQNMxl9sG0J86Rez06Zx/8UXM06ah6t0bza5d\n2LVaEHifFRQU8Mgjj1BbW4unpyeTJk0iNTWVoUOHdmqLiPs832bj9eZm9ttsANym0/G4hwcnTpzA\n7dIHZqmLbUqSxKG6Q+RW5LLl3BaarE34G/2ZEzeHO7rcIWSd1yzovXr14ssvv2Tw4MHs2bOHIUOG\nXHH8tttu45NPPmHy5MkcOXKE7pe+Gv8n4uOvf85gSUnJ9/r5mw1R662vasE3xAO1WsWB8nLOHq5g\n7J1JGD10iPz1OlpaULu5odJoqF7+Mg2rV9N95l40np5Ia9eg0miErFmSJArrCsk9ncvW8q3oNXq2\n3bkNtUrN+qj1BLsHi8uaaK2Dox/JqYaVBwAVxI6GxN+h7pmGt9GLKlH3tdMJDz4IPXvKYZWePeH3\nvydsxgzCBJbBOxwOXn31VaKjo5k1axZhYWGMHDmSOXPmkJaWhtFoFPJ3tjqdbG5oINJgoJ+nJ9aW\nFsxFRbwQHs7c4GBiL+0JiuB43XGyC7LJLsymvLEcd50703tOJzMxk+TYZLRq7fda88GDB//rsWsW\n9CeeeIKnn36a119/ndjYWFJTUwFYvHgxCxcuJCUlhb179zJ79mwkSWLp0qXXddEK4ikvrGPjmwVM\nW5hERE8/EsdE0De5CzpBKYaSzUbL3r005eTSvGsXXf78Jh7DhuF393x8Z89Cc2kCjEpQOtiOih28\ncfANzjSfwaAxMLbLWNJi0+R4pgpCPARMo7e1w/HNsoif2gFOOwT3gZQX5Li4l8CBCUePylWac+bI\n6YyNjXJZPshhnN/+VohZs9nMkSNHGD16NBqNhjVr1jBo0CBmzZqFt7c3H374oRC7kiSxr6mJrOpq\n1tXU0GC384uwMN7y9KSvycSxQYOEfVjXtNaw5ugasgqyOFB1ALVKzfjY8bww9gVu73k7Jr3YMYiX\nuSpBj4iIYN26dQDExMSQnZ39rXNWrPg6bUvURobC96Oj3c7WdwrpOiCYXsPDiOjhK8/ejJBvNiEx\ncUnCUliIOSeXpk2bcDQ0oPHxweeO6WhDZAEVNbKt0dLIlvItDA0bSpRXFEatkRCPEB7o8wDjo8bj\nqRc0QszplDNT8tdC8QawNoNnGAxdIKcaBid892tcL7W18sR7gJUr5SyVGTPkTU5BQgpgs9nYsmUL\n2dnZ5OTkoFarqa6uxmQysXfvXtwFtsS9zKgjR/jcbMZNreb2gAAygoNJ+UaVqqvFvM3WxoZjG8gu\nzGbrqa04JAf9Qvrx+oTXmd17NqGeYtM6/xPKTuUtzpniejra7HQbEIzeqEGlVnXe2Fq9hsSxYtKx\nrGfPYs7NpSknF2t5OSq9HtO4cXhPTcc0YgQqQfm8HY4OPj37KbmluXx+7nPskp3fDPgNdyfczYjw\nEYwId/0k+E6qi+WOhoXroakS9J7Qa5q8uRk9QlwzrMusXg3z58OJExAXJxf/vPSSLOYCkCSJL7/8\nkuzsbNasWUN9fT0BAQE88MADZGZm4uEh940RIea1Vitra2rYdvEiH/fujUalYn5wMA+EhjI9IAAv\nQUkYDqeDT8o/Ibsgmw9LPqTF2kIXry48PuxxMhIzSAgS+GF9FSiCfoshSRLN9Ra8AuQYYcGuc7Q0\ndtBtgBwbTn/E9f0tOm1braj0ejkl7IEHsFWcwX3QIPwfuB/PCROETPn5JjanjYkfTqSuvY5At0Dm\nxc8jPU5ONxRG03m5m2HBOqgulDczu46HCS9A90mgF+iZnj8Pjz0mD0seMwZGj5ZF/HKWmaDc6Zqa\nGt566y2ys7M5deoURqORadOmkZGRQWpqKjpBsz7bHQ5y6uvJrq5mS0MDdkmir4cH5zs6iDAaeVDg\nvM/8C/lkF2Tz3tH3qGquwsvgxayEWWQmZjIyaqS4eoRrRBH0W4wDm8o5uLmCe18ZgcFNy5h5PXEz\nCRqW8A3q//EP6v/2N7rt3IlKryds6VJ0oaHoBL7JTjeeJvd0LuVN5fxh7B/QqXX8PPHnRHlFMShk\nkLjhyR3Nl5phrYHSTwEJwgfApFeg9x3gESDGriTJAyKsVhgxQm56deAAnD0rH4+IgOeeE2K6rq4O\ns9lMXFwcLS0tPP/884wZM4annnqKGTNmfCvbzVU4JYl2pxMPjYZPGxuZXVxMuF7PoogIMoKD6WMS\nF5s+13SO9wrfI7sgm8KaQrRqLZO7TSYzMZO07mlievR8TxRBv8mpr2zh0/ePM2ZuT/zCPIhNCsTd\nS4/60qxNk6/ri2Akp5P2Q4cw5+Tid/d8DHFxGHvG4z0lDafFgkavx71/f5fbBahrr2Nj6UY2lm6k\npKEEjUrDsLBhWOwWjFojs3vOFmIXh13uZJi/Bo5tBHs7+EbD6MXQ5y4I6CrGLsi9Uy5tGHPPPXIz\nrF275MKfkyeF5alfrjmRJIkBAwbQr18/Pv74Y2JjYzl//jxBQeK6OBa2tJBdXc17NTXMCwpieVwc\n43192dW3L6N8fNAIWnNTRxMfFn9IdmE2n5R9goTE0IihvDn5Te5KuIsAd0Ef1i5CEfSbDKfDSXlh\nPSZfA0FRXhhNOjra7LQ3WwEP/MNN+IeL8Vo6Sksxb8ihKTcXW1UVKjc3PIYMxhAXh8eQwXgMGSzE\nbputDQB3nTt7zu3h1QOvkuCfwJODniQ1OpUAN4EecdVhOUPl6IfQWgtuvpA091IzrEHiin4u88QT\ncnva8nI5U+X99yE6+uvjLrbvdDrZs2cP2dnZ7Nu3j4KCAjQaDStXrryim6EoMX+zspJVVVXkt7ai\nVamY6OfHSB8fALRqNWMFtOK1OWxsPb2V7IJsNhzfgMVuoatfV54d/SwZiRnE+cW53KYoFEG/CZAk\nCWub49L/4ZOsY8QkBTAu0wsPbwNznhEjpAD2ujqaNm3CvCEHS1ERqNV4DBtG4GML8Rw3DrWHmIEJ\ndqedI41H+Odn/2TXmV0svG0hc+PnkhqdSlJQErHe4uZ9crFCboaVvxbqT4LGAD0myiLeNQW04ho0\nGUpK5Dj4qlVySCU5Gfz8oKMD3Nygb18hdouKisjOzmb16tWcPXsWk8nEnXfeSXNzMz4+PqSnpwux\n22y3s8Ni4XJG9l6zGaNazcpLzbACBW7oflX5FdkF2awpWkNdWx3+bv7c3+9+MhMzGRQuLsVRJIqg\n3wRsequQ+gtm+vYHjVbN9N/chk+QuMKIy1T++jc0bdkCDgfGXr0IXvIkXpMnoxU4VNcpOXn1wKts\nKt1EvaUeT70nU2Kn0C+oHwAeOg8xYt5+EYr+JXvjZ/bJz0UNh2GPyJkqbj6utwlyiuPnn0NUFERF\noXI4YO9euSp2yBCYMEH+J4Dz58/z/vvvk5WVxZEjR9BoNKSmprJixQqmTp0qLNXQ7nR2NsP6V10d\n7U4nKa2t9PTw4B89e6IXOOHndMNpVheuJrsgm5MNJzFqjUztMZXMxExS41LFDef+gVAE/Qak4mg9\nBbvOMmVBImqNmp5DQ6gos3XGNP1CxXjF7YWFNG3aTNDix1GpVOijovC//368p6Zj6CouRlzVUkVB\nXQEToyeiVqk5efEk/YL6kaRPYs6QOeg1gjxiewec3CbHxU9uA4cVAnpA8jPQZyb4iBuYgMUix8Dr\n6mDcOLl3ytKlWBIS5E1Owb2PiouL6dOnD06nk4EDB/KnP/2JWbNmCY2LA3zZ1MTUwkJqbDb8tFru\nCQlhRHs7PS59eIgQ8/q2etYVrSO7MJsvzn6BChVjosfw5IgnmRE/A2+jt8tt/lgogn4DYLM6KM+v\nIyLeFzeTHofdSVuzlZbGDrz83YjrF4TVWO/yr4CSJNFx7Bi60FA0Pj50HD9O4/r1+GXMQxceTuCj\nj7jU3jdpsjaxvXw7eaV5HKg+gFatZXjYcDz1nryd8jZqlTwZ3eVi7nTC2S9lT7zoY7A0gkcQDHxQ\nzhcP7Ss+Lj5pkrzJuW4dBAXB1q2yNw6ybUFi/rOf/Qxvb29eeeUV4uPjWbZsGdOmTaNHD3HTjcra\n21ldXU2smxtzg4OJd3dnrI8Pc4KDmeTnh14t/51dfW9b7BbyTuSRXZDNppObsDltJAQmsDx5OXP7\nzKWLdxeX2rtRUAT9R8LplLBbHeiNWppq29n2tyLGzOtBwshwYvoGEJskLqxhO38ec24eTbk5dJw8\nRfBvf4tfZgZe6el4paejNghqD3uJbeXbWPLZEqxOK9Fe0Tyc9DBTYqd0Vm4KyemtOymLeMFaaDwD\nOneIT5dFPGYMaAS+FbZuhY0b4U9/kh9PmCB755dJTna5SUmSOHz4MDt37uTxxx8HQKfTdTbKU6lU\nnS2xXU2DzcYHtbVkV1fzudkMwENhYcwNDsZLq2VNgpjiG6fk5LOKz8guyOaD4g8wd5gJNYXy6OBH\nyUzMJDE48aaMi18LiqD/CDgcTt579t/E9A1kxMxu+IebmLG4P8HRci6viJvO0dxM89atmHNyadu/\nHyQJt9tuI+S5Z/G81I9HhJBLkkR+bT65p3MZ3WU0oyJG0cu/FzN7zCQ9Np1e/gLnfbbUytkpBWvk\nbBWVGmLHyP3Fe04Bg6AcZodDTiscM0YeDlFSAhs2yIOUfX3lYiBBVFRUsHr1arKzs+VvOHo9c+fO\nJTw8nDfffFOYXYckdaYS3lVUxM7GRuLd3VkaE8Pc4GCijOJytotri8kuyGZ14WrOmM/gofNgRq8Z\nZPTJYFzMOHH1CDcgiqD/QBR9VsnF6jZG3NkNjUZNrxFhV6QXhsSKieO1fPopjR//i5Zdu5CsVvRR\nUQQ88jDe6enou4j72lnRVEHu6Vw2lm7kXMs5jBojUV5RjIoYRYRnBE8OelKMYWsbHN8kx8VP7wLJ\nASGJkLoUes8ATwENuEBOP3I45HDJli2QlgZ5eTBlCjz0EDz6qLB5n42NjXzwwQdkZ2ezZ88eAEaO\nHMnbb7/NzJkz8RWQ6gdy0c9es1me9FNXR9HAgQTq9bwYE8MKtZp+JpOwD+sLLRd4v/B9sguzOXT+\nEBqVhglxE1iWvIxpPabhoRezz3Sjowi6IKztds4UNxB3WyAqlYrGmnZqyptwOiXUahX9J0YLsStJ\nEh0nT3ZO9Ln4/hraCwrwuesuvKemY+zTR9ibrMPRgUFjQJIkfrnjl5xtPsvg0MH8ou8vGB81Hg+d\noDeZ0wFle+Ty+5IcsLaAVwQM/5UcUgkS3GbZbIbhw+FnP5OFOyVFboR1OZQiKIR1/vx5HnnkEXJz\nc7FarfTo0YMXX3yRuXPnEhMjbrrRhY4O/qeyktU1NZRbLLir1dwRGEirw0EgMMRbjHPSam3l42Mf\nk12QzfbS7TglJwPCBvCH1D8wu/dsgk3BQuzeTCiC7kIcDicqQK1Rc+KrC3z6/glm/W4QAREmhk6P\n66zeFMHlDJiLWVlUL11G11070YWFEfrC82h8fFAJ6q9hsVvYfXY3eaV5FNYVsv3O7eg1el4a8RKh\nHqEEewh8k10olGPiheuh+TwYvOXS+8RZEDlMmEcMQFaW3Ir2oYfA2xsGD4bLhTd6PdxxhxCzX3zx\nBY2NjUyePBlfX1+OHj3KQw89REZGBv379xfXHtZqpdFup7u7Oxank5fPniXZx4cXoqO5PSAAk6CN\nXLvTzs7SnWQXZvNxyce02lqJ8o5iyYglZCRm0DOgpxC7NyuKoLuIixda+fi1Q4ye24O4fkF0HRBM\nQBdP/MNlr1SEmNsvXqRp82aacnLxu/devFIn4Dl+PGqTJ5pLXpKonPHTjaf5+9G/s+PMDlptrQS5\nBzGt6zQsDgt6jZ6kIEFNwMyVXzfDqimSm2F1mwCJy6H7RNAJitVarXD4sCzcIMfEq6tlQQf429/E\n2AWqqqoIu9QT56mnnsJsNjN58uTO4RCiRLzN4WBDXR1Z1dVsa2hgir8/G/r0IdrNjephw/AT5CRI\nksSRC0fIKsji/aPvc6HlAj5GH+b1mUdGYgbDI4ffMM2wbjQUQb9OJKfEgc3lePoZ6Tk0FO9AN6IT\nAzD5yIJi9NAJiYs7LRZadu/GnJNLy549YLdj6NYNlUa+wXVhYfjcMd3ldgFOXDyBm9aNLp5daLY2\ns+PMDlKiUkiPTad/cH9xm0+WJjmUkr8Gyj8HJIgYBFNeg17TwcNfjN3Lg3xVKnj+eXj5ZaiqkvuN\n/+//ft1fRQA1NTWsXbuW7OxsDh06RFVVFYGBgfz1r38lOPjrbz2ixPzpsjL+cO4cLQ4HkQYDiyMj\nyfiGXRFifsZ85v+xd97hUZVp//9MS5n0OiRAeoBACkV67y2E3ieua1lWxVVZ17aCsLpiWV33p6uu\n7+ru6xyQJgihSRNUmhRhQhJqSEIImfQyk0ymnd8fJwR9d3UFclYT5nNduSCZMPc5zMz3POd+7vt7\ns8q4CiFbILc8F41SQ3qXdPSpeiYnTsZTLW/1VXvALeg3gdVsp+qamcjEIBRKBUU5VYR09KHbwAiU\nKiWjMuXJ1YouF5w5Q8mqVdTv/AyX2Yw6PJzgX9xNQEYGXjLWEZssJnZc3kFWfhbnq88zt+tcnhvw\nHGlhaXw+53O81TJ1rDrt+JZ8BWdelTY5HVYIjoMRz0DqbOnvcnLiBMydK9WK9+4N994LAwdCs68I\nMrgLNjQ0sH37dp544gk+++wznE4nPXv25OWXX26xpE2QocFLFEVOm82sKStjeUwMXioVIWo188LD\n0et0DA0IQCnThaPGWsOG/A3sPbqXA4UHABgSNYT3Jr/H7B6zCfYOliVue8Ut6P8Bl9OFsnn1++X6\n8xRmV/LLV4egUiuZ9ngvVBr5b/2KH3oY9u+nXqvFb9w4AqZmoO3XT7ZRbdd54sAT7CrYhYhIamgq\nz+CyV3gAACAASURBVPZ/lvExUomjQqFofTEXRbh6osUMq3NDJWhDoPfdUl68Yx/5mn6amqS0SVIS\njBwJsbHSkIjmocLExUlfrYzT6WT//v0IgsAnn3xCfX09nTp14oknnkCv15OcnNzqMa9TbLWyqqwM\nwWTiTLMZ1pTQUAYHBPCYjBVQNqeNHRd2IGQLZJ3LosnZRJeQLrww8gUWpiwkNki+Dd32jlvQf4D8\nU+XsM+Qxf2l/fAI96TM+hp5jolCqJFGRS8wthw9T/pf/R+e//w8qX18CZ8/C3Ls3iZl6lDINt3W4\nHBwqOcShkkM81fcpFAoFCYEJxKbFkh6XTrR/tCxxAajKB+N6ScirLoHaC7pO5ErwYDqPuAfk8tdo\nbISiIujaVSo3fPFFmDVLEvTgYKkhSCbq6+vx8/OjqqqKCRMmoNVqmT17NsOGDSMzMxOlnBu6QI7F\nQsqxY4jAQH9/3klMZHZYGKEymmEdKT6CwWhgbc5aqhqrCNOGsajPIgb7D2b2oNntvunnv4Fb0L+F\n1Wzn1J4i4nqFER7tT3CEDzHJoTgdLgCCI+Upu3NZLNTv2YNntyS8unZB4emF6HTiKCtD5euL3+jR\nEBnZ6mIuiiI5lTlszd/Kjss7qLJWEeAZwN3d7ybSN5Jfp/26VeN9h4YqyNkoORoWfw0opDFtQ5dI\nHZxeAZjz8uQTc4CpU6WceHY2qFRw6pTUii8zM2fOpLKykv379xMWFsbevXvp27cv3t7e5OXltbqY\n210udlZVIZhMRHp68ueEBLprtfwpPp6poaHEy7RIALhQeQHBKCBkC+RX5+Ot9mZat2noU/WMjRuL\nRqWRdWP3TuOWBH3jxo1s2rQJgKamJvLy8jh48GDL1JJ//vOfrF+/nuBgKf+1YsUK4mS4XW0NLLVN\nNDU4CI7wQalSYPy8GG2A5DUeqNMy5pfdZYkrOhxYDh+mdvMW6vfuRWxsJOSBB/DqugRt717Erl8n\nS1y4UeL4RfEXLN63GA+lB8M7Dyc9Lp2hHYfK5zhnt8L5ndJK/MJucNkhLAnGLJfMsALkGZnWwrp1\n0ir866+l1vunn76x8QmyiHl9fT0bN25k48aNrF27tmVcm9lsbnkdhg0b1upxAY7X1fHP0lLWlJVR\n6XAQqtGwqHkgt0KhYIlMaZVySzlrc9YiGAWOXj2KAgWj40azbNgypidNx99T3lGEdzK3JOgzZsxg\nRnOd7YoVK/5lBNWZM2d45ZVXZM3/3Q6iS0ShlCaxbPzTSQLDvZnySE88vNXc88pgPLzkuXERRRFr\nTi61WzZTt207zspKlAEBBEzNICAjA+9evWSJC1DbVMtnBZ+xNX8rQzoO4Vepv2JA5ABWDFrBmOgx\n+HvI9CFzuaDoULMZ1mZoqgXfDtB/EaTNA12yfHnxqir4xz9g/nyIjJTSKJ07Sw6HnTpJLocyYLfb\n2b17NwaDgc2bN9PY2EhcXByXL18mKSmJu+++W5a4IJlhxXh5oVAo+LC0lH+UlpIREkKmTsf44GA0\nMqVyGu2NZJ3PwmA0sPPiThwuB2m6NF4b+xrzk+fT0b+jLHHdfJfbUq7s7GwuXrzI888//52f5+Tk\n8P7771NeXs6IESNYtGjRbR1ka3Lys0IuHDcx59m+KBQKRszvis+3xrTJJebVa9ZQ9ZEBW34+Co0G\n35EjCciYgs+wYShlylsCfF70OZsvbeaL4i+wu+zEBcS1TPjxVHkyI1GeBhjKzjY3/ayH2ivg4QtJ\nGc1mWMNArhLH+npoaACdDior4YknICREGt02Zoz0JQOiKHL8+HEMBgNr1qyhvLyc4OBg7rnnHjIz\nMxkwYIBsaYVKu521zZubh+vqONSrFwMDAlgWHc3KuDgCZGr6cYkuDhQcwGA0sCF3A/W2ejr6dWTJ\ngCXoU/Wk6FJkievm+1GI4rfvOW+OxYsXo9frGXDd+rOZt99+mwULFuDr68vixYuZP38+I0eO/M7v\nnDhx4rYM9K1WK14/wvCnocZBSXYDsQN8UWmUmM41Ul3cROIwf3krVCwWOHJEMmhSqeCjj+DceWky\n+6CBNyaz/0h+7Pm6RBdFDUXE+MQA8Mr5V7houciQ4CEMDR1KrDZWNmFRN1bgX7Qb/8KdeFefQ1So\nsHToR230ROo7DkW8yaqYH3vOLdjtJI4cSf2YMZQ2D0tWX72Ko6O8q8P6+nrmzZvH5cuX8fDwYMSI\nEWRkZDBkyBA8bvJifTPnXOZ0sqK+ni+bmnAAiWo1GV5eTPXyIlTGCqgLtRfYUrCFbUXbKG0sxUft\nw7hO45gSPYW+YX1vuh/hpl/ndsDtnHNDQwN9vm9mr3iL1NbWipMmTfqXn7tcLrGurq7le0EQxLff\nfvtffu/48eO3GloURVHMzc393sfqKhvFhromURRFsfhslfjOQ/vE4nNVtxXvx+BqahId9WZRFEWx\ndudnYm7XbqL5yFHpMafztp77h85XFEXxUs0l8S8n/iKO3zBeTP5nslhcXyyKoihWNFSIdqf9tmL/\nINZ6UTy1RhQ/miaKywNF8Xl/UfzbcFE8/K4o1ptu66n/0zmLoiiKL78sinr9je8/+EAUjxy5rbg/\nBkEQxD/84Q8t3//qV78S//73v4vV1dW39bw/dM5Ol0vcX10tZpWXi6IoilanU0z++mvxiYsXxVP1\n9aLL5bqt2D/E1bqr4msHXxPT3k0TWY6o/oNaTF+dLq7JXiNabJbbeu4f9Tq3M27nnH9IO2/5XuzY\nsWMMHDjwX35uNptJT09n+/btaLVajh49ysyZM281zE3TUGfD8PtD9JsSy12TYolMDOSXrw7By0e+\nNuXGb76hdssW6nfsJOgXdxP20EP4jhhOzIYNePWQNlUVMuUuz1WdY9mhZeRW5qJUKBkYMZDFvRYT\n7CVtSId4y9BF6XTA5f3NZlhbwW6BgCgYskSqFw/r0voxr3PlCmzaBI88IuXe7XaphtzplO6E7r1X\nlrBNTU3s2rWL9PR0FAoFBw8e5NixY/z+979HqVTyt7/9TZa4ALkWC4LJxCqTiaKmJnr5+pIeGoqn\nUonxrrtku+Oqb6pn09lNGIwG9ubvRUSkf8f+vDXxLeb2mEuYj3ye/W5ujVsW9MuXL9Op042qhKys\nLBoaGpg7dy6PP/44d999Nx4eHgwcOJDhw4e3ysF+H/sMeahUSoYv6IrW34ORmd3o2EWyDFUoFbKI\nedPly9RlZVG7JQt7cTEKLy/8xozBp29fQPIW905ufSP/Rkcj+4r2EeQZxKCOgwjThqFSqHiy75NM\njJ3Ykh9vdUQRrp2WRPzMBjCbwCtA6tpMnQed+8tnhlVdLVWleHvD3r3w6KNSrXhKCjz3nDwxAZfL\nxVdffYUgCKxfv56amhoOHjzIoEGDeOONN/D09JS93G7JxYv8ubgYFTAuOJiX4+LICL3xGrd2fIfL\nwe5LuzEYDXx69lMaHY3EBcWxdNhSFqYupEuIjBdrN7fNLQv6/fff/53vvz0VfNq0aUybNu3Wj+o/\nUF5UT9FJM0nNnfaeWg0q1Y03dtKgSFniOiorqdu+g9qsLKxGIyiV+AwYQOjih/EbMxaVrzx16k6X\nE2OtEeErgT2Fe2hwNDA+ZjyDOg4i2CuY1ZNXyxIXkKb7XDfDKj8LSg10GS9VqCSOA7n9NXJzoVcv\nyTtl4UKYPVval4iJkS3k2bNnMRgMrFq1isLCQnx8fJgxYwZ6vZ7+zeZccuR8zQ4HWxobeez0ad7t\n0oU4b2+mhIQQ4+XF3PBwdDI2/Zy4dgLDaQNrctZQZikj2DuYe3regz5Vz8BOA9114m2ENtlYVHim\nkvzDZqzT7Hj5aBg8U74Bxq6mppZJPqZXXqFuSxaeSUmEP/kk/pMno9HJ34jyyL5H+PLql/hp/JgY\nO5H0uHR663rLF7CxBnI3SyJe+JX0s6iBkP4mdJ8KWhn9NVwuWLwYunSB8eOhWzd46inJTwXAx0f6\namWampp49913EQSBEydOoFQqGTduHH/84x+ZNm0aPjLEBHC4XOytqcFQWsqmigoaXC6iPT0ptFqJ\n8/ZmZFAQI2UaUFFQU8Aq4yoMRgPnKs/hqfJkStcp6FP0TEycKN9wbjey0SYFPWVERzwjLbLlxa9j\nOXSI4sWPEP3xx3h17ULor39NyP33twyPkINSSynb8rexu3A3fx/3d3w9fJnbdS59vfuyYMACPFUy\nrYgdNri4Wyo1PLcTnE0QkiCNa0udDUEx8sQFOH8ezpyRPMSVSqkd/3pfg1IpOR3KgMVi4fz58/Tq\n1Qu1Ws2f/vQnOnTowJ///GfmzZtHhw7yTDcSRZFah4NAjYYah4P07Gx8VSr0Oh1DrFYWpqbKZoZV\n3VjN+tz1GIwGviqSLtbDoofxxKAnmNV9FoFegbLEdfPfoU0KuqdWg9qz9fO11nPnqN2yBe+UFPwn\nTMCzWzf8Jk5A4SFdODxl6na12C3sKtjF1vytHCs9hohIz7CelDeW4+vhy/DOwwk3h7e+mIsiXPm6\nuelnIzRWgzYU7vqltLkZ2Uu+pp+amhvOha++Chs2SGPbPDwgK0uKm5fX6mFdLldLa/29997LF198\nQXFxMSqVCqPR2NLdLAeFViurTSYMJhOhGg1f9OpFqIcHB3r2pI+fH55KpdT638r/502OJrZf2I7B\naGDbhW3YnDaSQpN4adRLLEhZQHSgjD49bv6rtElBb03spaXUbdtG7eYtNJ0/D2o1IQ/cj/+ECaiD\ng4n84x/lieu0U2erI8Q7hFJLKcsOLSPaP5oHez5Iemw6nf3lc7uj8pIk4sa1UF0Aam9paHLaPGmI\nspz+KQBr14JeL63MY2Nh6VJpFX49R9zKgiaKIqdPn0YQBD7++GO+/PJL4uLi+N3vfsfDDz/ckh+W\nS8yzKir405UrfFFbC8CQgAAydbqW1v9BMoxsc4kuDl05hGAUWJezjmprNTofHQ/3fRh9qp5eHXq5\n8+LtkDtS0J1mM/W7dlObtYWGI0dBFPFOS0O39Dn8J01CLVPOUhRFjBVGtl7ays6CnQyMHMirw14l\nPjCeDVM20CWoi3wfMksFnNkoifjV44AC4obD8KchKR085RvWgMkk+ab88pcwbJjkK/7b30qVKwDR\n8qwQr1y5wurVqzEYDOTk5KDRaJg0aRJWqxWAu+66S5a4NpeLHVVVjAgMJECtpsBqpdRm44WYGBbq\ndMTKaIZ1ruJcixlWQU0BWo2WGUkz0KfoGR03GrXyjvzI3zHcca9uxfv/Q8U77yBarWiiogh96CEC\nMqbgIZOoXOfjsx8j5AoU1RfhqfJkZOeRTI2f2vJ412AZhlTYG6XhEMZ1cHEPuBygS4GxL0DKLPCX\npxoIAKNRsqft31/Kh+/dK4n5sGHS7M2XX5YlbG1tLZ988gmCILB//35EUWTQoEG8++67zJ49m5AQ\neaYbiaLI4bo6DCYT68rKqHI4+EfXrtwTEcGDkZEs7thRvnmfljLWnFmDwWjgeMlxlAolY+LG8MLI\nF5jWbRq+HjfXleym7dLuBd1WfJWq//1fQn/1AOqwMDyiOhM4Y7o06SctTbYPWbW1mj1Fe5ieMB21\nUk1ZQxkdfDpwf8r9jI0eK9+HzOWCgi8lEc/dDLZ68IuEgQ9LeXFd69fGt9DQAFqtlJufM0cyxNq3\nT6ofLyiQd2gzkilWfHw8lZWVJCYmsmLFChYsWEB8fLyscWsdDnofP06+1Yq3Usm00FAydTrGNN/p\nqWU47wZ7A5vPbsZgNLDr0i6copNeHXrxxrg3mJc8jwi/iFaP6ebnT7sUdNuVK4gOB56xsYjWRmrW\nrsVn0ED8Ro7Ef8IE/CdMkCWu1WHlQPEBtuZv5avir3CIDmL8Y+jboS+/6fUbeXOWppxmM6wNUHcV\nPPykEsO0uRA9WD4zrOv8/vewahXk50vCvWrVd1MpMon5m2++ydatW9mzZw8ajYY33niDbt260bdv\nX9n+v8ttNtaWlVFht7M8NpYAtZqJwcH08/dnemgofjKZYTldTj4v+BzBKPBJ3ieYbWY6+3fmycFP\nsjBlIT3CZbxYu2kTtBtBd9bUULdzJ7Wbt9D4zTf4T5pExzdexzMhgcRDh2Rr+rlOfm0+C7ctxGw3\nE+4djr67nvS49JZUiiziUnftRtOPKRuUakgYA+NegK6TQCNfrpbsbClt8s47EBAAgweDRiO14Xt7\nw/eZB90mFy9eZNWqVTz66KMEBgbi4+NDaGgojY2NeHt7y2ZN2+h0sqWyEsFkYmdVFQ5RZIC/P8ti\nYlAqFLwtYynr6dLTCEaB1WdWU1JfQoBnAPN6zEOfqmdo9FCUCvnHILppG7RpQXfZbJg/309t1hbM\nB74Aux2PhHjCliwhIH1yy+/JIeaXai6RdSkLf09/7k2+l2i/aDLiMxgZNZK+upt3nPvRNNVDXpa0\nGs8/AIjQ8S6Y+BokzwAfGVv/jx2DiAjJU7yxURrRlpMDgwbBpEnSlwxUVFSwdu1aBEHgyJEjKBQK\n+vTpQ3p6Og888AAPPPCALHGdzUakKoWCl4qKeLGwkI4eHizp1Am9TkfKTTpm3gzFdcWszl6NYBTI\nLstGrVQzKXESmamZpHdJx0t9Z7kTuvlxtElBb8w+A++/z4WjR3HV1aEKCyV44UICMqbgmZQk3612\nQznbL29nW/428qryUClUTImXLA9UShXP9H9Glrg4HfiUHIKcP8HZbeBolBp9hj8p5cVDZMwR2+3S\nyru8XKpOeeYZaepP377S+DaZ2tEbGxvZuXMnTz31FDt27MDhcJCSksKrr77K/Pnzv+Mj1Npkm80Y\nTCZWm0y837Urk0JCuD8igpGBgQwPDEQl0/urrqmOjZc3svfrvewv2I+IyMBOA3ln0jvM7jGbUK1M\nF2s37YY2KeiWgwfhyy/xGz8O/ykZ+Azoj0KmvGWDvQGtRvJtf/Pkm2y5tIXkkGSe7vc042PGy2uG\nVXKy2QzrE6Is5eAdBD0XSPXinfrK1/RznalTpU3Ojz+WxrNt3SqtxkGKLYOYu1wuFi1axLp166ir\nqyMyMpLHH38cvV5Pampqq8e7jtXp5O2rVzGYTBgtFtQKBROCgwlsfl9Fe3kRLYN/i91p57NLnyEY\nBTaf24zVYSUhOIHlI5azMGUh8cHybui6aV+0SUEPWriA8v79iJRpZJvD5eDItSNszd/KvqJ9GCYa\n6BrclQdSHuC+lPuIC5BxPmp1ARjXSymVygug8oSuE7gSPJjOI34Jahn9Nfbtgx074LXXpO8HDQLP\nb3WnTpwoS9izZ89y6NAh7r33XpRKJRUVFcyYMYOhQ4fyi1/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817UrvX19KRo4sGXaT2tT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\nQiMk0IUQQiMk0IUQQiMk0IUQQiP+CxmWclfXRAxOAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b6d5992208>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "plt.style.use('seaborn-whitegrid')\n",
    "import numpy as np\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = plt.axes()\n",
    "x = np.linspace(0, 10, 1000)\n",
    "ax.plot(x, np.sin(x),linestyle='-');\n",
    "ax.plot(x, x + 4, linestyle='-') # 实线\n",
    "plt.plot(x, x + 5, linestyle='--') # 虚线\n",
    "plt.plot(x, x + 6, linestyle='-.') # 点划线\n",
    "plt.plot(x, x + 7, linestyle=':'); # 实点线\n",
    "plt.plot(x, x + 0, '-g') # 绿色实线\n",
    "plt.plot(x, x + 1, '--c') # 青色虚线\n",
    "plt.plot(x, x + 2, '-.k') # 黑色点划线\n",
    "plt.plot(x, x + 3, ':r'); # 红色实点线\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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bmhVtxpHeR9jTYw/F3Yrz3s/v8ercVzl49WC2HVdk7NIlePVVmDJFXW7YEIYNA2fn7D/2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\nnZDAFkIInZDAFkIInfg/fS+6+zUy3V0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1f182b71e80>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "x = np.linspace(0, 10, 100)\n",
    "plt.style.use('seaborn-whitegrid')\n",
    "plt.plot(x, np.sin(x), '-.g', label='sin(x)')\n",
    "plt.plot(x, np.cos(x), ':b', label='cos(x)')\n",
    "plt.axis('equal')\n",
    "plt.axis([-1, 11, -1.5, 1.5])\n",
    "plt.legend();\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.79172504  0.52889492  0.56804456  0.92559664  0.07103606]\n[ 0.63992102  0.14335329  0.94466892  0.52184832  0.41466194]\n[ 0.3595079   0.43703195  0.6976312   0.06022547  0.66676672]\n[ 0.16130952  0.65310833  0.2532916   0.46631077  0.24442559]\n[ 0.97645947  0.4686512   0.97676109  0.60484552  0.73926358]\n[ 0.26538949  0.52324805  0.09394051  0.5759465   0.9292962 ]\n[ 0.67781654  0.27000797  0.73519402  0.96218855  0.24875314]\n[ 0.39650574  0.8811032   0.58127287  0.88173536  0.69253159]\n[ 0.61801543  0.4287687   0.13547406  0.29828233  0.56996491]\n[ 0.70388858  0.10022689  0.91948261  0.7142413   0.99884701]\n[ 0.69742877  0.45354268  0.7220556   0.86638233  0.97552151]\n"
     ]
    },
    {
     "data": {
      "image/png": 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nfh2wyR7MrZhx48Zx1113ueXnucXZy9daNV14P08dOw15a3nkxMREEhMTKS8v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\nBAhJ+EIIESAk4QshRICQhC+EEAHi/wMX3iIgPHUvTAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b79d2aba20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "rng = np.random.RandomState(0)\n",
    "for marker in ['o', '.', ',', 'x', '+', 'v', '^', '<', '>', 's', 'd']:\n",
    "# for marker in ['o']:\n",
    "    plt.plot(rng.rand(5), rng.rand(5), marker,label=\"marker='{0}'\".format(marker))\n",
    "    label=\"marker='{0}'\".format(marker)\n",
    "    print(rng.rand(5))\n",
    "    plt.legend(numpoints=1)\n",
    "    plt.xlim(0, 1.8)\n",
    "    # plt.ylim(1, 2.8)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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bhEG69kxzf1EUHR9X2iR6Z/Egow1zn64w/+kKliUpTOSxHJv5z1d58OHinhby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\nymWaiJVSymX/D1PZ+wdPd3p5AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b79d206080>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "rng = np.random.RandomState(0)\n",
    "x = rng.randn(100)\n",
    "y = rng.randn(100)\n",
    "colors = rng.rand(100)\n",
    "sizes = 1000 * rng.rand(100)\n",
    "plt.scatter(x, y, c=colors, s=sizes, alpha=0.3,cmap='viridis')\n",
    "plt.colorbar(); # 显示颜色条\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(4, 150)\n"
     ]
    },
    {
     "data": {
      "image/png": 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OgzUpZGYB2gddhMr7kM+gUr+JnG0B3XBbcs06BSFEFPgc0M0kJ7JUaqa3cp3C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\nRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1b79c9299b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.datasets import load_iris\n",
    "iris = load_iris()\n",
    "features = iris.data.T\n",
    "plt.scatter(features[0], features[1], \n",
    "            alpha=0.2,s=100*features[3], c=iris.target, cmap='viridis')\n",
    "plt.xlabel(iris.feature_names[0])\n",
    "plt.ylabel(iris.feature_names[1])\n",
    "print(features.shape)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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M9773Pf7qr/6KSCTC/Pw8X/3qV/niF79Y0NT0TMZCt912G5/73OewWCz86Z/+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\nfwDmr0pwohClwwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x256e0fedfd0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = plt.axes(projection='3d')\n",
    "# 三维线的数据\n",
    "zline = np.linspace(0, 15, 1000)\n",
    "xline = np.sin(zline)\n",
    "yline = np.cos(zline)\n",
    "ax.plot3D(xline, yline, zline, 'gray')\n",
    "# 三维散点的数据\n",
    "zdata = 15 * np.random.random(100)\n",
    "xdata = np.sin(zdata) + 0.1 * np.random.randn(100)\n",
    "ydata = np.cos(zdata) + 0.1 * np.random.randn(100)\n",
    "ax.scatter3D(xdata, ydata, zdata, c=zdata, cmap='Greens')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "\n",
    "\n",
    "def f(x, y):\n",
    "    return np.sin(np.sqrt(x ** 2 + y ** 2))\n",
    "\n",
    "\n",
    "x = np.linspace(-6, 6, 30)\n",
    "y = np.linspace(-6, 6, 30)\n",
    "X, Y = np.meshgrid(x, y)\n",
    "Z = f(X, Y)\n",
    "fig = plt.figure()\n",
    "ax = plt.axes(projection='3d')\n",
    "ax.contour3D(X, Y, Z, 50, cmap='binary')\n",
    "ax.set_xlabel('x')\n",
    "ax.set_ylabel('y')\n",
    "ax.set_zlabel('z')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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bsEFOJJ4hESyDvNX2Ho/sfoqPWxppcQV4ZOOb/PHIa3nHNPrlpr7lZjmLTq1S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\nPPhyluq6sWH8nMO7Ca1CMWY1rEWtIpJM0uYfPXmdVrncNuBlMBzljr1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o6vJyoC1bdJOU\npPdMA2urRolBqcjow1g1Sop075zkcFVKuqDVF+K1bheVRh3+WJzuYASnVn3SE8/v7X5W7xNIwwSE\noj09EzbqR8NpJVbc0Rib+zw8vK+d1UXysrnNH+L3+2UubrFezfKp1xDd3kiR4OVUcRutiVIOSrWc\nGn4lpfE++o2USEoE4wmqTTrqTDq6Qy5e7JQ54NsGvJxXkZ/8TUgSvlTRlBcTG2P1I8asM+uYbzcz\n12ZEFIRMkjLdOASg3S/Hyi+sdOZ145lVoGNtxwEKVp6GqFbzLQbo+cfzCDEBFp2REknLWqhinZK+\naBxvbDcqVTVKRSHxeAdlxlIGI3EUgoBtmBzDBZVOHm/p48LKo0sdjAb/zh0khuSkV6y3hym6KEad\nile2d2aYK/OnVDKjdB5VRSamVYyM4QKUGbOJzK2926kyl7OybHnmM5VSwbwpDubW2dl5ZIA7/rkn\n892RTg9fvG09AHPrRi/uqisrGPXzND6zZjr3Pn+Qm69ZSoFBnZkYhuP8U6rQqpVs3tdDc7ePO/4p\nFzDlwuOPnvRk6kQhCAKVRi37h+TQlFX9zsb7jSolJXoNh71BDqckCdSpVW/a4J9M/MdWlE4mrKvX\noLTacF4mc96jfePLuh4rziy1YVUreb19IFPOnJaFBbl9ni/VDcZACIUgMUVoI4aKjsj4SRlfLI6E\nnFyaOqwrTv8oIkcDYzQiKKGPIo38ebVRxyKHORNSSivpben3sn9IXqqnaZxlBg1KUcgsmeft2UL/\nA39n4B/yiu/w//0G36aNlO7aiqM3G66pM+u4cX4NX55ZxU9O/R6/WPENQMKpn4rDfAVeVtMRiGBU\nKkYkfx1aNdeegBRt8KBcFKQwyQyERG83q+bm0x1Pm1/KOYsrxjToADXm/JDMPw4/xYutr47YThAE\n5k9x8F+XzmP5zJGJW5P++IzW6fPL+Mt3z6TcacSkH/u/UIgiq5dUcMYCORE93KDDyVGXPBHkhj0m\nM+QyUQx3hqJJidVldj56krjpufjQqE8CNGVl1P7yfzGfcioge29Dr7xEuLlpUsY3qZSsKrGSkKDB\n7UeSJHpSXq9WIXLEG8qERKxG2fus0cheSqskF8gkYl5CnsMjxk53kSlQK6k06ljoMGX0q1t9IZKS\nxPouF8+3D9AbimQqLosU+XHUpYpdXFlrZ2WRhdNK8pNwufmCJ1rkysXBYUyAT08t4ZuzKzFsk2my\nvq2bkXJ6uapiUS544q+c/9g9fDXYzTXTyzGplJmx9SoVdo0ab1xHTMoaqGrT5PfkTPe3LbziKgAi\nnZ18/PQ6Pn/BDM6YX8qFK6qZN4b3nAujemRSts3XMeq2giAwu9bOFy6axeol+QqbS+pPvqEAWDaj\niKqi0al0e5reGfmKiWKq+d1t2zfFrOez0/L7FSx0mN8Rzv+HRn0SoTAaEY1GArt30ffA32n76c2T\nNnZNyjh1ByP4YgmC8SQzLQaWOguIJJKZ1l5Oax3lc29g/vSLURGjXcp6kH0tT7Kzt5vn2gd4uXOQ\nWDLJg6nu9Gmti0/UFPPDhXUstJsIJZL0haK80DnIhh43z+Zw6pepGzlD8TYXOEJcqniWEmEAu8HG\n2krnqOyCdSldcV8sQbs/jCscQ6sQM0wUu1aNU0gSS61yEj4fkTaZbmdadgp1v5JlJ5z9XQT+9pdR\n2TyLnfkU2gV2E2srJ147MB4SgaxIV2ygD9FgQFsna7VEWlvwvvYKSyv0fHpNPR89rXbCD+/VMz9J\nvXUqP1nxPbQKLQMh11H3sZuzS/j/+/pK5tQeu7bO8UCtUvCtS+eh0ygxpGLyC6Y6MGiV7zmtGIdW\nxapiS6bBxbuBqQUGLqmSJ9yZFsO4ejKTiQ9j6pMMXW0dgd27Jn3ctEe7bcDLIY/shRfrNUwvMLCh\nx82BVPzQoVUjKjSoFVCliXAkYkZZ9WlaXT284DYSact62BqFiDcVHx/ekLjapGP7oC+v0UduOMae\n7KZSK1BSPYdBoQmlyjiuIVvgMCMIcseadB/PUr0mb59ob37Yyp/6HzWVlSiMRuyXfIzBJx6Tt+1o\nR1NRmbf9acVW/p0KS51X4WBV8dE1348GKZkk7nbRfMP1AGjrphDr6UFTXYPSakPU6Qjs3kVg9y4i\nXV0UXXnVMY2/pHgBS4rljk8OnY3eYP9RZW+1mmxOocAwetgkeGA//h3bsa09H2XB2CGgY0WBQc2v\nvn4qCoXI9oP9zKqx8dvH97C3xU0kmkCjPrnMjolCEATOqzi+nMlkYrHTTJVJS+E72HXqQ099kqGb\nls+fTkYnpwWWQhAwpihpvlgCpSCw0G7OaLJLqW0qcxIx0wvlmG1TtIBnh+xEUFMttLPYJt9gO1Il\n1KcWWUYUREy3GFAKQqYICLKa0/UFOjQJN0p1AYIg4Ki+BEvZ2J2U0phvN+clJx05CcyE30/XXXcA\noLTJ4mWBXXIrO02ZHMu1X3ARzis+BUC0O9vUOQ1BEJifarRcNwlhFymRoOV7N2QMOkC4UW4pqHI4\nEAQhz2D6t799QjrkDp2dWDKWkWMYC0tnFLF4upMbrlgw5jb9jzzE0Msv0nf/3477eMaCSqlAFAQW\n1xei0yixp6iQg97jb4z+QYUoCBTpNO+Y1AJ8aNQnHcb5C/PexyYxafrlRXWcVmzlIyU2rpxSgk2r\nQqcQM9VtlUZtXlKo1CAbtle7XCQkOMsWYY3iDc4y9aEShUy13WjNOkwq5aiVd5UGLZeVyoZLpT32\nWG7umIsc2XBJ992/J+6SvWz9LLlHajr8os5paqJMVSnHvaMbvo/XFPHN2ZWUGk6cZRDt7SE2kO1w\noyrMLuW1VbLOT9yXPY6Ex0Os9/ivd2mKDbOze++422lUCr7y0TlMrxx9JZKMxYh2yUnlUGPjcR/P\nRJEOB931+B6ik9Q4QpIkXB9OEseFD436JENdXEzx567NvI/2TF6scZrNyJoKB+eU25lukZNsgiBk\n+jPWmfO905IUxzytJjcjxadPhPuYXpBN0tnHKMBZU27P8NR1qfj3OeV2omE52anSHV+88nPTyji3\n3M6UVDJLiscJHczKzJoWZQurFHo9Sqst+94s0/QSvtGNukIUJo2THOnI1y4q/fLXMq8Nc+XCuqKr\n5GYeplNWpPZp43ixomQJoiDySMMzdPmP/76JtLZkqpsTniEGnnx8Qvt53nidofWvHPPv2VJGvXsw\nyD/WT2wSOdLp4frfvkljl2fU7+9/8RDX/3ZjnrLkh5gYPjTqJwHmFadS+o1vAxDtGRkmmGzYUvzi\nOlN+XFyrVGRi5fNtJorNcugjGurhvHIbBqUClShkBMOGQxAEvjDVzkV2L9+bV8mNc8spih3E378V\nAPVxGvUpBXpOL7FllqSRrk6keBzzylXU3Pq/6GfNwTBfDi2YZ9TnLV2VKRph3Du6MZhMRDvymSiq\nwkIKr7qagtPOQF0qMxtMi5cy9e57KFixUj6Xo4jYjQer1sIFNasZDLn53+2/Ixw/Nk9VkiQkSSJ0\nRGY5qUvkY3Q9/eSYjVzSiHR20vvXP9P39/uItLcz8Ng/6LzrN0fdD8CWw0+fKAvm1e0duLwRbrk/\nX2KgtcfHXY/vyfD9X991chpJfJDxYaL0JEFdLLNOBp94jIJVp01qsmo4VhVbKdRpqBilsOGqKaW0\nBcJUGrSIooAgqogGO1H1/psb5l1INJlEP07ZcqjnZUo9u/B2D5CI+QgOyRr5esssVLriMfc7FkRa\nWgDQ1tahSsXTS7/6DaLd3ZTOrGVwKGvcsp76yVfnDB48AIJAwRlnkgwGETUaLKefMWI7QRDQlMs0\nQ9e/ngZBwHHJx47rN8+tPpMgfl5qeoN9rkMsLJw7of0i7e203/JTlDY7KofM+Cm+5gu0/eRHAMQG\nBlAXjh0u63/04cxr39bNuJ6V2xb6d+7AtHDRuL9dX2XlirOn8sLWdnrdIb7+qw1cvLKGsxeP3tx8\nw64uNu2Vw1TxRJKWHi9Op4m39vbwx6fzezDsODxAMikhHqd0838iPvTUTxLSDxbA4DNPndTfqjTq\nOKfMPmqZtkIUqDHpMnrm6S5JAddOwu7d6MRsYi8e9ZAY1r4tEZff+wd3ZAy6SluErfLCE07+SIkE\n7pdezBTzpA0jpAxlaSniMIlTUa8HhYLESfLUE6EQ0d5e4j4v4aZGdFOmUnTlVZRc+8Vx91OYTJhP\nXQWA65mnSMYm3mBiuDe8eoos57Czb89om48K39bNJMNhol2dBHbvQmm3o62uxp6aXKLdY3u88aEh\ngg27UaTyFbGcBuzBvUc/BkEQOHtxBTNTImGBcJwHXhpZEwHg8Uf463P5HZ3ufnof4UicN/fIq1qN\nSoFJr2JJfSHBSJzW3ndJXvt9ig+N+kmCIIqoHHK4I36UhtbvJBzVWXlgV9uTeHrfACARC9C199f0\nNz6Qt70oyjF1KSknVU2FKyiu/wLiOO3sJoqhl1+k/6H78W3eBGRXN+NBEASUZjOxgYFjVsWcCDpu\nv5WW79+A/+2tIEkY5kzMUwY5vq60yXmLWP/EGoRLiQQtP/yerCWTWn1UWcqxa63sHTxALBnHF/Wz\nvv1NYomxJ4rAnt1573VT5KYh6RCM+/lnCbe1jtgPsiFC46IlQHblBMd27xZas+E/Abk363DsacpO\nGApR4PT5pXQPBln3vX+xt8VNmdPAnd9exa1fXsGCabJjtKfxvVXY9F7Hh0b9JKLq5p8CkAyMrXn9\nTkNvmUH53P/GXCgn9mKhPrlhbtfLAERD+TmARCy/clStK5o0elYoRQ8EUFgsKPQTqwI0zJ1Pwutl\n6DW5pD7S3oZ308YTohNCquCpRRaucj0nN5rQTZ023i55EJRKLGfJ1M5od/eEjifc2kqIGEvkAAAg\nAElEQVSsp4dIawueNzYQc7k48PNbWSqVE05EaPG08lzLyzx6+EkePPjYqGNEe3qItOcnaHVT5OPW\nVsssndDhQ7T9z49G37+3J7utQpHn1ceHJp6oPHV2MWcvKmfxdCcS0NQ1MpmdTnx+/PRabvrsEi5Z\nmd8tbHaNDYUoyhLCtQ40KgWv7+4imRJ/63UH8QQmhyb8QcWHRv0kQlSrUVptxFzvLU9DVGgpKD0L\nQVQT9jfTd+Q+Aq6dme+lHH3vRHyYUdcf3ZueKCKtWc9RU1I6zpb5sK6R2w2GGxtxv/QirT/+IT1/\n/iPtt/yMSGcn3o1vIiWThNtaSfgnLgvr2fhG5nXc5UJQKtFUV094fwB1ifz/9D/8AI3f+lomaTkW\nQoeyoYhAwx58b23EtXkL0+55GSSJrkAvrrDsLW/u2UY4LstD7OpvwB+VnQXfVllawZjDGtJNk426\nKkdBlDEmmTRDS11SAsNCQXHPxI16gVHDFedM45TZcq7llw/uYF+Lixe2tNHZL1+HQ+1D6DVKzltW\nRbnTSIFRw3evzNKAT81pvq3XKpk/1cGgN0L/UIhkUuLGP7zFd36b3zYQ4E/P7OOeZ4+9AfwHER8m\nSk8ylDYb4eYmpGRyVI31UOMRoj3dFKTise8UBEFAVGhJxLxE/K0oNXKCMh5xkYwHUajkFmqJmB+V\ntoiC0jOQknFU2kkquw8GMhxwhdGUif1OBCq7A0GjwbflLXxb3sp8Hj5ymNabZM330JHDeDasxzB3\nHmUpJtJ4CDUewf3C8yCKCAoFUiyGafkKRNWxhZnURbJRirvkMIPv7S0IajW+LZuxnrsGpSnLzU9G\nozKFUKFAabEQOnwIIef3igbjdAd68USyHu+O/j1YNGb+uOc+Kk3l3LDkG5mcRMFpZ+Df9rZ8HDnc\n/pKvfJ3u396BoB55LvFAAPeWjQiiiLq4OGP4BY0GdVExkfY2pHgcQTlxUzG1PEsKuO0h2VmwmTV8\n/6rF9A2FmFdnz0t8Tquw8KNrl3OweZByZ37rPqdFTv67fZFMh6h4IicPlEgSjiYyMgVXnTt9RCep\n/zR8aNRPMlQOB+HGI0Q7O9FU5LMBEn4/7T//CQCGOfMyhTXvFASFGmKg1pVQOOUqhrpfxR9xkYj5\nUaiMJBMRpGQUhcqAvmD60QecICJdXZlEp3XNWhwf+8SEmopkjlsUkSJZGV/Hxz7BwGP/yNvGs2E9\nwIQkG+IeD+2/+ClIEo51l2FashT/9u0UrBpdf3485CbIAUIHDzD00ouAzLm3rb0g811g9y7iAwNY\nzl6NprSM3vvuIdiQjY1P6YjQVddDf2gAlagilozxVvdWFhXOB2TxL9e/nyN0YD+qomK0NbWA7LHn\nhshMCxcxNHUaoSOHM85FOB7mrl1/wbi3hY94fAwun8E0fbZ2oejTVxPYtZNIWytxrweVbeL6Mkad\nijPml7J+ZzaM4/ZGONAqrzhGU65cVF9EpX1k+M1qlOmSbn+E3KhfWr/9zsf2sDsn5t7ZH6CqePKb\nOb+f8J89pb0DMC6Ul8RDG+T4b3xoiERQ1lgO7stWDqYrAN9J2CsvRhOvwiSciqjUZr3zVMglEpA5\n15MZcvHv2EbrD79H1+9kgS5NRcUxGfQ0rOeuAcB5xaewnnc+RZ+9ZtTtRP3R29NFu7sySVHr6jWo\nbHasZ5+DqDn2IiZBkU8PzeWtD5c2CDTIzBLT0uWYli1H5ZQT69riIgS1mlktURqHmgjFw9TbpjLN\nOoUjQ810BrLjDD71JADG+fNR6PVMufN3lFz7pRHHpTCaQJIy+Z3NPdtp8rSgSWkG7bPI0rn6mbPk\nY6ipQ2mXJ6hY38SSvrn49Jp8nX0JeGpjCwCzj0GAzGqSPfW7n97H/tZs0tYXlJPGu4clUSfClInE\nEjy6/ghu38gWix8EHJdR9/l8fOlLX+JTn/oUl112GTt2yAUEO3fuZN26dVx++eXceeedk3qg71cY\nFyyUlRt37cK/cwfN372ejttvRZKkvHjlu2HUlVIBnj+8SucvbwXIC7kAhH1y0lBrrBl9gONAYJ9M\ni0wbl3RC71jh+Ng66n59F9Yzz0YQBApOXUXVj3+KqNViXLQYVWERglJJMhggERw/UZ02WsZFSyZV\no0NTVZ33PjKMVhg6fAhRr0dbXY2o0VD6la9jOfNspnzjqxjmzEUXjHPlsy5UsSS1hgrqDOUANLU1\nAKCKJZEiYVROJ/ZU03NRqxs1VKIwydfWt2MbiWCQbW1b+OrDfazYLf83HZoQiWSC0q98neqf/gJ1\nYWFGcyfSOboc8NEwI9VnNS0N3OsKUl9poaLQON5uechtvPHUmy2Z1zsO93Pv8wdGbD9eBWo0luD3\nTzbw5dtf47m32rj76fHlGN6vOK7wyz333MPy5cu5+uqraWpq4rrrruPxxx/npptu4o477qCiooIv\nfOEL7Nu3j5kzJ6cD0PsVgiiinzYd//ZtdN35a0Au4w7u25unXzL8gT8aEoEAcc8QmpzY6Wjwbd+G\nqNFgmDWboddeRYrFCbc0oa+fgcKQfbiivT0odCldlaj8YIR9zSAoUBtHLyI5Hoj/v73zDoyqzPrw\nM3OnZWYyqZPe6CG0UBZFgmDBXlCJIC4u4lpYG4qoiyt8FlD8ZPXTVbHsWlBRWFa267qiAmKhSw8J\npIf0NpMy9fvjTmYypEA6hPf5a+beO/eeNzM5973nPed3mjkc3eAh/gt5HUAhSUgG/1m4NjaWgS+9\ngkKlRqFQUPLxGqo2fYW9tBQpse0Zu82TfqhupzinI8Q98hg1P3xP4C8mUvDSi97tjdnHqfnpB0wT\nz5fVH8vL0MT5nlS08QlEzPklQeZAQhvcVB/LILyyhhlfVxOz41uclZVMjHcxaV8J6y8NxuW5ARnG\njMWpBJfLgUrZ+r+0ZJRDEiUfvEf5P/5G/Tg3Kk/GoVuhoCzARXlDBRF6MxqdvNCpjZW/d1snnfqC\nGSOx1NvZm1nG9sPy33j+VcM7dI7gNropffD5kRbbjAFqDmRX4Ha7W70578wo5adDvqeO4sozq7FH\nd9Eppz5v3jw0nkUXp9OJVqvFYrFgs9lISJDlUNPS0ti2bVu7Tj0kRI+qi01YzeYzP37m+MU4LLt2\nAhAQF0t9fgGO/XuQGn2Vku7S4tMaS9Mxu5Ytob6gkIlr3kXdTiw+43VZ+fC8jz4gY8373u21P3xP\n1JVXeN/nrXgabUIkXKxAooaQICW59cUEhgwkMjK0xXk7S3md7/F48Py5BHVgzB3FMTiJqk1QtuZd\nRix7Ek1oSwGs+sJCMjzpi9HDB6EJ7Ybfk3kiTJmI2+VCKp6NJjSE+sIiCv6yEeuWbxh09XQayytw\nOxwYY6NaHV/8+JFEvPk63zx0PzEFlVCWiwRM8kxEE4psWAzy/05o8iBW7nqF8rpK5qbexMGSDHaf\nOECoLpjIQDPzx83CFBVGU4a4s6KC5Gxf9bEryIBLqaBRbcVsHujbHjyEXEnCWZjfqe+gSY9Tp9fw\n6aZMZkwdxPAhbd84W7tGeLibiyfEs2lH+/ILE4ZHEqBVsWVPAS5JIiqs5U18d6b/zFyjlvrcf/TE\n9U/p1NevX8/777/vt23FihWMHj2a0tJSFi9ezJIlS7BYLBiNvpmfwWAg7xQ6GJWVdZ00W8ZsDqS0\n9MyvNlOOnoDavBGntY6w2b8k/8WVFH/5X+9+KTAQS9YxMj/7J8YxY5ECA3E7nRSveY+GzEwMqWNR\nhYYyZOZ1lFXU4WpspL5Antkf//dXVG/6ivCZN6MbMBC33eYtenI1+G4aO37zQAu7TvznSxQaDW6b\nDae1jrpDx9FemERtcQ65zp8AN0pdfLf+ja0n5JnSgBdWYQsNO+W5u/Id20PkGWdddg4H/+81Yu97\nsMUxVVt/AkAKNFHlkFB08+9Jd7F84zSkgnb7TmoPHebon//uDW24jMEtxtd8zAMmX0HpurUtznu+\nYRh7KuXww35XNYW1ctn9Ozt9x1ZRQ0HtCaqtFhaYLwGFwpvdMirT99twDR8CFJBRlEu8OsnvOtqk\nAViOHeNEbglSQOfkjIN1Kl5YMIkwk67N77K97/mXlw5B6XaTWVDN/KuH8+dvsth3rNyboXnhmGhu\nnT6Uz3+S/c2+jBKkwf4L1g6ni32ZZUSH6SmvacBmd1FcUce9K79i4c1jCDb2fn/Vrvy227sZnNKp\np6enk56e3mL7kSNHePjhh3n00UeZOHEiFosFa7MiG6vViqmXsznOVJRaLfG/fRK3w45S5/+PodBo\n0CYmUbd/H8Xv/QnHdTMIu24GVV9/Rc3WLQDYPvd0JwoyII2f5J31A5R+/CEAlV/8m/pjWeB0MuTt\nd1EoFH4xe2d1FVKgCfPsWyhd9wnO6mpwOgm9+lpcDQ1yOh/grnbgCKuk/NBnKMO1KJ3dN5Nwu93Y\ny8pQhYV1KJuiszTPNqrPyMBZX49CknBWV3sXJZvi6TH3PdDjmtfa+EQa8/IoWfOeVxf+5GyZlp/x\njSFo6kUUDAzG+N5GNBUWzNVOXAp4t+xLUPnbnmoeyZ2jbmPVztfJqj6OYkwCA1f9H7hcHHpyMdp6\neaFRbY5AP2MG7H2NkrpSTkY/LJmGrEzqDuxHMpnQN+sX4HY4cDU2tgiDtUZ4UNf07edM9629PHDT\naLnN4u4CNmw+xoRhEahVErHhsh1FZVZST3Lq2SdqabQ7SU4MYebUQWzccpwvd+SRW2Jh37Fypow+\n/TqJM51OLZRmZmby4IMPsmrVKqZOnQqA0WhErVaTm5uL2+1m69atTJgw4RRnOndQmUyoQ8NaVE0q\nNBo5P9hDU9Pqptzj8PRZ3n1F//o3jQX5lH7acuam0GrB09OzKUfaUe3TR5GCgkl6ZgWm8yb5pdVp\nExIx3zyboAunAeDKkZ+elOHyzMW6xV9FryO4Ghsp+XQtlt27ADmm7Kyu8lY59jRKnY6AZDmG66qz\nkvfcs5T9ZT3Hf7vY21Wpu+Pp7RF61dXe1+WfbfBct32lS218AngyaoKmXMi4ydejDg+nMfMoMaU2\nqo0SDo9Dnxwz0XctnRxqSjLJN4VC6wlUJhPZVFLWbJ0y8vY7iAiWHVpJna9dYRP6kaMAKFr9Gvkv\nPOdXTFX80Qcce/ThNrXtewqlUoFKUnLphHhee+hCbzZNjMepF5a1XBg/kitnziQnhBCgVTFjiu83\nWNXPsmA65dRXrVqFzWZj+fLlzJ07lwULFgDw1FNP8cgjjzBz5kxSUlIYM2ZMtxrb31CbzYRcehkh\nl11J6NXXAngrIB3l5Sg0GkKmX4559hxU4eHU5eSS/+ILOC21mG++hZj7HiRp+fMo9XrszXTbi9e8\nj3X/zzg9Jd7hN6UzcOWLSJ7wmH74CO+x2lg5oyJizi9JevY5HN9X4K6RZ3HueifW7Xtxu1zYSkva\n1Fppknw9mYrP/0XVl19Q+NorHF/yGGWeVnRBaR3P/+4scYse9b62FRZ4c8YrPXF0e2kpCq3Ou5DY\nk2iiokl6Ts40ctXXo9BoTilDIBmNJC59iqRnn/feDAPPv8C7/8Qk38x5TvJM72uTRh5PnFF22Hm1\nhRRYinhp1xtUBfrWsVSBgWgkNSHaYIpbmakHDB6CFOzLK7cVymG/sqoiarZsxt3Y6L1p9wXNRezM\nwTpUkoL8Uiuuk36Ph3Pl/4Vhnhz5AK2K5XeeB0BpdQPb9he1KmtwNtKphdI33nij1e2pqamsW7eu\nSwadC0TdeTe2ggLCb/T9E4bfcBNVX3+Fo7IS64H9NObmoImKRqFUEnLpZbjtDso2rMNZW4M6Morg\n6Zd5wwXqsDC/fOi6/T/TmJtN6BVXyfsjIvzS3JpK2QFUnuwThUqFJioaTWwcSPJ5lQ49zuocKr/4\nN2Ub1hNyxVWYZ97sNxaXzUbBSy+iDAgg5r4H/XLOm1d72kuKsZcUowoJ9XY26g3aCqk4aqpx2W3Y\nS4rRRMf0WruxpvUOAMOIUShbqfI8maYbbxNhV1+LymRCP2IUhY1H4ehfvfuCNCaqbTXeLJimmfrh\niqNsLZC/D01EJByTJRokT4VrpN7M4cqjvLL7LWYMugqzPpw/7v+QKbHnk3Dl1ZSu/QgAe3kZX+Z8\nw+4tnzHDc03rvr1+ksRWex0ZlVkMCEogWBvUgb9O15CUSqJCDeQU17L8gx08+StZoMxSb+doXhUx\n4QZMzXq6hnva8B3OqWTrz3KIc2CMiavOT2Tc0L7vb9pZRPFRH2A6b5KfQ29CFRKKo7LCmwanaFb8\nYpqcRnjaZPQpIzDfPNvPCZ0cpwdw1tRQve0773mbo1AoSHzqWeKXLG1R+BP/2BIMkXKDCr1Jdr5l\nG9YDstLfyVR/8zX1RzOw/ryX2u0/ebe7HQ7spaXoBg0m6dnnfONIm9KpYqOuEP/YE4RdfwOJTy/3\nzsidNTXUZ2TgttvRD0s+xRm6D4VCQfCll6E0GAg/6QZ52udQqQi+6BI0EREEavzj2Q+Ou5u0mPOY\nHCPPQiMNEcQYovi57ACFVvlpbtxEOQykjoqSpYyBAJXs4I5UZvJ90XZ2l/zMoYoM3tr3AZopFxA5\nbz4g68VbP/yEsCrfU1tjrk9MrMHRwMrtr/DO/jWs+PElTlg7XrjUFbQa+bd1vKjW2w7vb1uPY3O4\nSBvlX0SnVkkEGTWUVfsWjY8V1rDmi5bpkmcTwqmfQahCQnDV+TKCXA2+PFqVycSwxQ8T9/BijGNS\n/T4X4pmRAwRfOp3YBx8GwJafhzIgAF1CYotraWPjCBg4sMV2Sa8ndNA1RAz5FSEjLkPZPONBapl+\n2rx9W5OwFMhNGXC50ERG+UnqBk1Oa3XsPUnAkCGEXXs92hg5j10/PAVXfb13wbmpNV1vYZ51CwNf\nfAlNZOc6RzVncLD8HV6WeBEgz7hvSb4JjeTToR9j9j0ZXRw/hejRExn44kskPb3Ce4MdF+n7G2wu\n+J6PDvtkFzKrszFd4PveUo43MGWPHLdWBATgqCj3FngdqcyivKECvSoAq6OOzQXfd3mMHSE61HeT\n+zmrnKJyK//dmU+YScvU1JaLocNakSyotzlotDmpa+h+aefeQDj1MwjjGP/u8JFz553m51IZsPJF\nTGlTCLvmevTDfbUBhlGjOyTGBKBUqtEZE1Gq1egGDfbtcDpbqPbZy+UybXW4mbqDB3DZZVnUJjlX\ntcdxJTyxlJh77/cLP/QFCoXCG3Ko2bYVhVaHzqM93ps2dFQorC2CtCZemfYc1w28os1jhob4bt4D\nguQbvCo4xO+JaVzEaF6Z9hwGdUv9lePVOSiUSsJvauXJYqT8lFOfl0utzcI/j/8HgPkjbyVApePb\n/O/Iqso+5Tj+tOtTVvz0EnZX1xzprEsGM83jvNd+ddRb9DRtbCwB2pb/B5eOj+fkwJvN7mLB77/l\niXd+wHka7fzONIRTP4MImnaRvGCqVBK/ZCn65NOvvlOHhRM17w4koxGFSoV59hwMY8cRnj67SzaF\n33AT+pGjfI2Vc/11ux3l5UhBwRhGj8Zts3n3N3oaMjTN0nUDBmIc235btN5CMskhGLfdjn748Bbd\nlc42JKXU7ppAkikRpUKJXhXAmPARbR4nKSXqPX1RBwcPYMHo21GgILtG/k5Dr7yKrDn+i9x18fJN\n+sPNq3l869MUWIpQKVUMChrApGg5pv0Pj6MHyKw6zuEKXwaN2+3mg4Of8vnRbyiwFPFzaddK9w06\nNbddkcxd16Zgd7jYuEWWujAHt55SOTguiP/9zQWsuncyl4yL45HZvqfgaouNe1/azBsb93fJpt5G\nOPUzCIVCQfgNNzH4tdWthkY6QsillxF77wOoQ1pWUXYEXWIScQsXEejpitOQk+3NdHG7XNgrK1CH\nhaEbMAiAvOeexWmxYNm1AyTJ76nhTEFl8i3eBf5iYjtH9g80kppl5y9m2aRHkZTtV3DPSZ7JoKAk\n7h71K0aGDydUF+IXF88OdbNttIHGEYP4ZryRw5KcBhlU4+vKdOfIuWgkNTcNuZZoQyTHqrOx2KyU\n1Zfz0q43eHXP27g8mv1Z1dn8eMJXd7Gr5NSqmqfD+SOiuOYCX9ixvTz5UJOOkEAtt142lJSkUH51\nhS+jyGZ3sf1wCdWWsyftUTj1M5DuejTvTrSeuHz5xr+Qu/xpuZCovAycTtmpN7sJVX2zica8PFlf\n5jS7GfUmarMvJ92YOq6dI/sP4QFhGNWnLhKaFD2Bh8f/Br0nDBOpN1Nrt1Bnl9d3CqzFHBkXRdTd\nv2HvMD3bnfIsPrhWDpvMGnoDI8N9T5jDQ4ficDl4Yttyln2/0ru9KX3yh6IdftfPrDre5Q5WTVw6\n3le41ZTpcjpMTY3lqfn+N/tNu3pfcK+zCKcuOC1UISHenOrG7OM05mT79GyGJqOJjCJo2sWA7Pih\nY63gehPjuPHEPfIYA57/307J655LROrl8EpxXSlWex2VjVXEGqMJDwglRBtMvVZBo1pBWJWTSTWh\nnKdM8Pv8sBB5TcZxUqw8pyYPt9vNwfLDBKqNfHLza0yITMVit1JkLfYeV2ApYnP+951y9M3TFwP1\nHQuxxUcYueu6FJbN+wUhgVr+9UMOlvrTbybelwinLjgtFAoFMfc/iMGTeZP77FOy85YkAifIoZmI\nW+eiaBafDmi+yHoGoZAk9MnD+3zR9mwg0iD/jQqtRRRa5FzuOKOc1z88dAgoFORHqAm2OJn4j8MU\nve4vuT04eCBKRUs3k28plLs62WpJDh2KUqFktCfev7XQV9/wwvZX+DTjM29cv6O8dH8az98zqVN1\nCOenRJEYFcjU1BicLjc7DpdQ33jmZ8QIpy44bSS9gZgF93lDMW67nfAZNyIFyguPCoWC2IWL0A0e\ngiYmFt3AQX1prqAbGBYiZwbtLtlHbq0cgogzyovf0+LlNMedFyd55QRsJ2TH76iupujt1VB4ghuC\nJrHgSxtX1CcyMCgJgBPWEoo8efOJJrm4KtU8kmBtED8W7aK8voLPszfhcMvSFwfKD1PRUMlPJ3Z1\naNYeZNAQ0cYi6ekyYoBc5/HBF0d4YW3nZTN6C9HOTtAhFCoVEb+8jbwVzwByMVFz9MOSSXj8ib4w\nTdADROjDSTTFc7jiKApP8l+Cp0o11hjN/al3EqYLxTw1jLyVK6g/moGrsRHrvr3U/vgDtT/+wPCJ\n51FbWsWwz7ZzxQureH7HKxTXlVLkWYCNMshrHJJSYmLUOP6T8zXLvl+JG5/z3ld2iD2l+ymyFrOr\nZC/zR9yKRvJfe6o/lkXZn9eh0GgInnoR+pQR3RJeGxBt4pLxcXy1M5+cE7XU1Nkw6c+8da8mxExd\n0GF0no4+6ohIv0bKgv7JyLBk3Lg5WHGEAFUA5gCfwmZy6BDMevm9JkbOD7eXlfqJydX+5CtKO/7o\nImaty6GioZLcWrn5RrTBV4SV6imUau7QgzSB3nANyA7+2/xtuN1uXI2NVH2zieot35K34hnqM45Q\nt38fha+9Qum6T7pl/EqFglunD2VGmqy988HnR/yeFmqsNv6xLZsTFV2TEu8uxExd0GEUksTAVf/n\nFz8X9F+Ghw7ln8dlIbTEwLg249PqcE/bug/eg5OKdgyjx/g1AVc53BwoP4xeFUCQxjcxiDX6l/Lf\nM3oe5Q2VrM/4q9/2jVn/YkvB9/x6XyAN230ZNKrwcBxlcppl9bdfEzn3Vx0cbdskJ4bA1uPsyihl\nb1a5V973zb8d4FBOJV/vlsNT865MZlQH+rB2N2KmLugUqqCgMzJdUdD9JATGebVhEkxxbR5nGDUK\ndbiZhqxMGo4fAyDyV7ejTUgk4pe3+R0bZJFj5UNDBvndJFRKFREBsrOcPexGRoWnMCrMV+tweeLF\n3teV1grq9/rntSc+sYyQ6Zd7359cAd0VhsYHc8fVcrrmpl3yU4a1wc5hj6xvZW0jlbWNvLRubwuV\nyN5EOHWBQNAuklLypiYmBrbt1LVx8SQ994JPL0ipxDR5ColLn2rRFKXJqSeHtpRouH3kHOYMu4k0\njyhZWEAICYGxKFAwPXEq0xOmEV7tZGhOAwqbnaCp01AGBKCNT0AKDMQ86xavWFpdU6PzhoY2paM7\nwuRR0YSatOSVWHA4Xdz/8hZa89/5JZYuX6uzCKcuEAhOyaUJ05gQmUpyaPu1BwqFQm7sgdykpLm+\njKKZzHBQrezUx0aMbnGOhMA4Jsee5zeDvy/1Tn6nvJTip5/lwgwXt/6rgst/kFvB6VNGMGDli8Qt\nftx7vMEj71x38ADO+nqyFt5H4erXOjrsVokzG6m22NibWe7ddn2af+OXJv32vkA4dYFAcEoGBCVw\n+4g56FSnziZpEoHTxsX7bW/eHGUQodww+OrTqnIFZNXHv/8TW2EBZX/5M82nx5qkJCS9wS8cqImN\nQ6HVUfP9d2TdvwC3w4F1T/ekI8aaZZu/2C7nzg+OC+LyifG8/EAaT3sqUZs6LfUFnVooraurY9Gi\nRdTU1KBWq1m5ciWRkZHs2bOH5cuXI0kSaWlp3Hfffd1tr0AgOMMJu/paDCNGohvgr19kvnk2AYOH\nUPTWGySrY4hOmHrKc7ka6lFoddjy83BWV6EMCMBVX+93zAl1AyeLSyuUSjSRkV5hOe/57PYuC7gN\njJYXdjPzq9GolDyUPgadRoVOAya9hvAgHUdyq3C53CiVvdN8pTmdmqmvW7eOESNG8NFHH3Hdddfx\n9ttvA7Bs2TJWrVrF2rVr2bt3Lwc98SyBQHDuoNTp0CcPb5EjrlCpMIyVtXYcNdWtfdQP64H9ZD5w\nL9VbvvVKOYddN8O3f/ok/jEliC9zvmnTDgBtYpJXD95RUd7qsR1heKJPJG/sUHMLSd/kxBDqGh18\nuimT3Zt3kffiSr8Uz56mU0593rx53r6khYWFmEwmLBYLNpuNhIQEFAoFaWlpbNu2rVuNFQgEZzdK\ntRql3oDzNJpVn/jjW+ByUf3tN9hLZQEwtTmCyHl3EHLl1aTMvJ3aobHsLt1HjZsOWPUAABJ2SURB\nVK22xeddNlnbX6nReNs2Nun/dwW9Ts35KZHEmY3ccGFLNdWLx8WikpR8uSMPPnqL+sOHqPrqyy5f\n93Q5Zfhl/fr1vP/++37bVqxYwejRo7ntttvIyMjg3XffxWKxYDT62pQbDAbymvXNbI2QED0qVftS\noKfCbO75hsFnEufaeEGMub+RFxqMvaa2xRibv3c7nRxt6gJWb0WyyAuPEUOTMCT6RMMuSBrPxkNf\n0Ki2YDb7dzaS5t7CoWdWMPCXs2ksL6cC0DW2vG5nWDL/vBb5+jWHj7DvsSUMf3IJL9yfxuJXtmBw\nyvr0AVqp1ev2xPd8Sqeenp5Oenp6q/s++OADsrKyuPvuu9m4cSNWq9W7z2q1YjK1X21YWdm1Ciyz\nOZDS0pZ36P7KuTZeEGPul+iNOPILyN97BK2nCvXkMdvLy70piI0lpVQdygDAIumpa3acCbkd3eHC\nbMwK/8IlEocyZPU72FUqGhvkYqiKo9lIY3vmb5u/Zi0AmW/9iQHLn2dhWgjIZlORU4jhpO+0K99z\nezeDToVf3nzzTTZu3AjIM3JJkjAajajVanJzc3G73WzdupUJEyZ0ymCBQNB/acpjP/HOm20eYy/1\nb1jdmJuDKjy8RZy+STemqI0G102tHDXRssNvLCzsnNGnQ1MVrQIse3aj/tPL3l01+T143ZPolFO/\n6aab+Pvf/87cuXN5+OGHWbFiBQBPPfUUjzzyCDNnziQlJYUxY3q3oa9AIDjzCb5kOgC2In9H57Lb\nqM/KlPeVyDovAcOSvftNE89vca5oQyQaScPPpQe83ZRaQ9IbkIKCqdv/M1Wbv8Fl735t9Cab7SdO\nUPLxh97tDUo1Unlxj1yzNTqV0hgeHs4f//jHFttTU1NZt25dl40SCAT9F0PKCAKGJVN/5DBVX3+F\nbtBgqksUZC5ZCkDMAwuxl8gzb8PoMdQfOQxA4PkXtDiXRtIwMXIsWwt/ZFPeFjRKNRfGtTwOQJeU\nhHXvHko+eI+GrCyibr+j28bkqK72as6AnGWjiY4heN6d/Ov1T5lQfZj6rEwMHeg73FlE8ZFAIOh1\n1Ga5+UbJR2vIfeZ/2O9x6ABVX37pDb8YR48BSUKbNMAbfz+ZYR6pgc8y/8mnGRupbGi9mjPi1rno\nR8oVrDU/bMPVUN/qcZ2hPlNuph0240bvNsPo0QQPGkB5mLywW/DiSnYuWYbD0rPrJcKpCwSCXsdP\n4fMk8ZS6QweoO7AfhUaDOiqauEWPEnPPb9o8V5zR39lnVGa1epw6NIy4hQ8Tes114HRiPXCg8wM4\nCeteuVo1YPAQDKljva8Bxl3k64MbWJLDsYX301iQ323XPhnh1AUCQa8TcullGEaPIWnFCwRfMh1T\nynASn15OoCdu7mpowG23o1Ao0A8d1m7rwfCAUHSSbwH1g0Ofcqg8o83jDaPlloyl6z8he+kT2LtY\nkGQrPkHN99vQxMQQMGQo0b++i5j7F2LwNDW/4PxhLT6T/8rLOBsbu3TdthBOXSAQ9DqayChiH3gI\nTUQEEbfcyqjnnkUbE4sqKMh7jNbTjOVUKBVKbhl2I+dH+bLtdpX83ObxJ0KVYDTgKCvDVlhA7faf\nOj0OQC4scrsJu+Z6FJKEUheAcUyqN4+9eT775+bzKdUE4ywvo3pv2zZ2BeHUBQLBGUOTjIA2aQDR\nd95z2p+bEDWWy5Iu8r6vc7ReA+N2u3lx1+vsjPeFfOr278Nlt3XKXrfLRe32n5BMJozjxrd5XMwD\nCzFNmkzsZRfzH7MsKVy1Rzh1gUDQz9EPHcaAF35PwhNL0URGnvoDzQjXhXo7J+XVtp4XXm2T5Qm2\nphowzfJorh86SPlf5bqb6u+2cOyxRZSu/wRnnbXVczSnIfs4ztpaDKPHeHPiW8M4OpWoO+7EHGqk\nQBeOK8BAY7Nsme5EOHWBQHBGoQ4NbbNlXntISoklEx8iOWQI5Q0V1Nnl2fqx6mzqHXK5fpFFziVH\noeAZ5dfez9Z8/x0Axe/+EUd5OZVffE7x+++2eS1HbQ35q16g8PVXATCkjDwtG0NNWlwKiWPX3MWQ\nB+7t8BhPB9GjVCAQ9CviA2M5XHmUfEshjU4bq39+D4Arky5B52nLB4BCwdZUA2l7rLgbG1sUB1l2\n7sDtcLQ6A6/Z9h11h3wqtJrYtjtCNScmTNZi//PucgJjTzBlZMeeRk4HMVMXCAT9ivhAOcUxt7aA\nTXlbvdv/nf0Vm3K3ICkkJsfIzSx2phioTx2Kq6GBolY6IzXkZLd6DcvO7X7v/1O3t9XjTibUpCMy\nRJZJKK44dXinMwinLhAI+hVJJrllxmeZ/ySjMtNvX7WthqlxFzAneSYPjr1b3hYpCw9a9+4BIGr+\nnUR5FmnznnsWp9Xf+boaGmjIzsYW4Mu1/zzvG8rrT6/b0a+vSeGS8XHcfs2ITozu1AinLhAI+hVh\nASF+70eGJXPz0BmolWoC1UYuT7oYgGCtnD5Zatb5Ha8bNBh9sk9zxnpgn9/+huPHwOXi5yQ1RxK1\nbB4rS44fKD98WvYNig3i1ulD0Wl7JvotnLpAIOh3XDVguve1UW1katwFvDDlf3jqgse9fVGbnHpR\noAtHjFzcZAvSo46IQBUUTNyiRwFoyPKvUG2SBCg0qwm749c0TJaLmbJrctlZvBe7y9GzgzsFYqFU\nIBD0O65KupQRYcP4+PAGLkucBoBG8u9NqpHU6FUBHKrO5NA0BZLTjMINT9tqCdKa0A0eDJJEwzF/\np35i/w7UQFG4mtHmFCZEpvLQt0/w44md/HhiJxfFpzFzyHW9NNKWiJm6QCDodygUCpJMCSyZ+BCR\nHs311og2+LJPnJICh0rBku+exWqvQ6nWoImKpuH4MeylpTjr67FUleLOzafCJBEXNQij2oBGUmNQ\n673nyarK7smhnRLh1AUCwTnLiDBf7HzZ+Y96XxdYigBfc43jv11M5uOLKHxkMRq7G/WQwTw0boH3\n+BBtsPe1VtL0tNntIpy6QCA4Z5kcex4jw5J5aNwCIvTh3DTkWgAqGuRMFlWwb9FVYfVJDwz4xUV+\n52mKzwO48Ved7G1ETF0gEJyzGNUGFoyZ730frZfDMU1OXdOKhrtTqyZ4ZKrftlCdz/lXN9b0hKmn\nTZdm6llZWYwfP55Gj4Tknj17SE9PZ/bs2fzhD3/oFgMFAoGgtwjVyWGUCk+jDdPkKbinnOfdv/+6\nMQx+fhVKnX8a5CUJU7hmwGXoJB1VjdW43X03W++0U7dYLKxcuRKNxhc/WrZsGatWrWLt2rXs3buX\ngwcPtnMGgUAgOLMI8cy4i6yyRswPxTt5LeYYRWYt34w3Ev2LKagDTS0+Fx4QxpUDLiU5dAh2l4Ma\nW892N2qPTjl1t9vNk08+ycMPP0yApzO4xWLBZrORkJCAQqEgLS2Nbdu2dauxAoFA0JNoJDXJIUPI\nrsllf9kh9pUdwikpWDc9iJ+HGRhoSmj385F6Od+9uK60N8xtlVPG1NevX8/777/vty0mJoarrrqK\n5GZVVxaLBaPR6H1vMBjIy8tr99whIXpUKqmjNvthNgd26fNnG+faeEGM+VzhTBnzryfO4pEvnmVT\n4WasNt/i6EUDJjEyaVC7nx1sieeLHKhT1p7WeHpizKd06unp6aSnp/ttmz59Ohs2bGDDhg2UlpYy\nf/583nzzTazNNBKsVismU8vHlOZUVrYuZH+6mM2BlJb23WNOb3OujRfEmM8VzqQxB2BiaPAgjpT5\nio5SwoZxdfwVp7QxwCk76YzibFKDUts9titjbu9m0Knsly+//NL7+uKLL+ZPf/oTWq0WtVpNbm4u\n8fHxbN26lfvuu68zpxcIBII+JSkogYwq2an/ZswdjAhr2We0NWKNURjUer4v2sHliZcQpO39p49u\nzVN/6qmneOSRR5g5cyYpKSmMGTOmO08vEAgEvUKcp4MSQHLI4NP+nEbSMD1hGjanjSOVR3vCtFPS\n5Tz1TZs2eV+npqaybt26rp5SIBAI+pQm+d5U80gkZcfW/QYFJwHwbf42rPY6LopP627z2kUUHwkE\nAsFJhAWE8MwFvyVQ0/HwSZwxBqVCSXZNLtk1uYwIG0aEJyumNxAyAQKBQNAKoboQ1MqOz3s1koY4\no68SNacmvzvNOiXCqQsEAkE3c/uIOSiQm2fn1PpSuwssRWRWHe/RawunLhAIBN1MhD6c3099BgUK\n8moLqLHVsq/sICt+eomXdr1Bnb0Oh8vZI9cWMXWBQCDoATSSBnNAGEWWYt7Zt4as6mzvvsVb/ocL\nEiZw6+Cbu/26YqYuEAgEPUS0MQqro87PoTfR6GjskWsKpy4QCAQ9RIwhyvt6esI0JIUvPTJcH9oj\n1xROXSAQCHqISdG/ACBQY+TagZfz8rTl3n095dRFTF0gEAh6iLCAEJ6e9Dgut7tFEVOYPqSNT3UN\n4dQFAoGgBwkLaH1GrlNpe+R6IvwiEAgEvcjCsfcwMWocqVEpPXJ+MVMXCASCXmRIyECGhAxEJfWM\n+xUzdYFAIOhHCKcuEAgE/Qjh1AUCgaAfIZy6QCAQ9COEUxcIBIJ+RKeWX91uNxdeeCFJSUmA3PFo\n0aJF7Nmzh+XLlyNJEmlpaaJHqUAgEPQynXLqubm5jBgxgtWrV/ttX7ZsGa+++irx8fHcddddHDx4\nkJSUnsnFFAgEAkFLOhV+OXDgAMXFxcydO5c777yTY8eOYbFYsNlsJCQkoFAoSEtLY9u2bd1tr0Ag\nEAja4ZQz9fXr1/P+++/7bVu6dCl33XUXV155JTt27GDx4sW89tprGI1G7zEGg4G8vLyTT+eH2dzx\n/n89cY6ziXNtvCDGfK4gxtw9nNKpp6enk56e7retvr4eSZLFaSZMmEBJSQkGgwGr1eo9xmq1YjKZ\nutlcgUAgELRHp8Ivf/jDH7yz98OHDxMdHU1gYCBqtZrc3Fzcbjdbt25lwoQJ3WqsQCAQCNpH4Xa7\n3R39UHV1NYsXL6aurg5Jkli6dCmDBg1iz549rFixAqfTSVpaGg899FBP2CwQCASCNuiUUxcIBALB\nmYkoPhIIBIJ+hHDqAoFA0I8QTl0gEAj6EWedU3e5XCxdupRZs2Yxd+5ccnJy+tqkHsdut7N48WLm\nzJnDzJkz+eqrr/rapF6jvLycqVOnkpWV1dem9Apvvvkms2bN4sYbb2T9+vV9bU6PY7fbWbRoEbNn\nz2bOnDn9+nveu3cvc+fOBSAnJ4dbbrmFOXPmsGzZMlwuV7dd56xz6v/973+x2Wx8+umnLFq0iOef\nf76vTepx/va3vxEcHMzHH3/MO++8wzPPPNPXJvUKdrudpUuXotPp+tqUXuHHH39k9+7drF27ljVr\n1nDixIm+NqnH+fbbb3E4HHzyySfce++9vPzyy31tUo/w9ttv87vf/Y7GxkYAnnvuORYuXMjHH3+M\n2+3u1onaWefUd+7cyZQpUwBZSGz//v19bFHPc8UVV/Dggw8CsphaU+FXf2flypXMnj2biIiIvjal\nV9i6dStDhw7l3nvv5Z577mHatGl9bVKPM2DAAJxOJy6XC4vFgkrVPztsJiQk8Oqrr3rfHzhwgIkT\nJwJw4YUXdqukyln3F7RYLH5yBJIk4XA4+u2PAWTJBZDH/sADD7Bw4cI+tqjn+ctf/kJoaChTpkzh\nrbfe6mtzeoXKykoKCwtZvXo1+fn5LFiwgM8//xyFQtHXpvUYer2egoICrrzySiorK1uIBPYXLr/8\ncvLz873v3W6393s1GAzU1tZ227XOupm60Wj0kyNwuVz92qE3UVRUxG233cb111/Ptdde29fm9Dgb\nNmxg27ZtzJ07l0OHDvHYY49RWlra12b1KMHBwaSlpaHRaBg4cCBarZaKioq+NqtHee+990hLS+OL\nL77gr3/9K48//rg3RNGfUSp9rre7JVXOOqc+btw4Nm/eDMCePXsYOnRoH1vU85SVlTF//nwWL17M\nzJkz+9qcXuGjjz7iww8/ZM2aNQwfPpyVK1diNpv72qweZfz48WzZsgW3201xcTH19fUEBwf3tVk9\nislkIjBQFrUKCgrC4XDgdDr72KqeJyUlhR9//BGAzZs3d6ukylk3xZ0+fTrfffcds2fPxu12s2LF\nir42qcdZvXo1NTU1vP7667z++uuAvPByriwgnitcdNFFbN++nZkzZ+J2u1m6dGm/Xz+ZN28eS5Ys\nYc6cOdjtdh566CH0en1fm9XjPPbYYzz55JP8/ve/Z+DAgVx++eXddm4hEyAQCAT9iLMu/CIQCASC\nthFOXSAQCPoRwqkLBAJBP0I4dYFAIOhHCKcuEAgE/Qjh1AUCgaAfIZy6QCAQ9CP+H7SG5OaERH/V\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x22c8ccdeda0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "sns.set()\n",
    "rng = np.random.RandomState(0)\n",
    "x = np.linspace(0, 10, 500)\n",
    "y = np.cumsum(rng.randn(500, 6), 0)\n",
    "plt.plot(x, y)\n",
    "plt.legend('ABCDEF', ncol=2, loc='upper left')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 2",
   "language": "python",
   "name": "python2"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
